Conacyt   CIMAT

Selección de publicaciones en los últimos años (2016-2023)

2024

  • del Angel, Pedro L.; Elizondo, E. Javier; Garay, Cristhian; Zaldívar, Felipe On T-invariant subvarieties of symplectic Grassmannians and representability of rank 2 symplectic matroids over ℂ. J. Algebra 640 (2024), 300–325. DOI: j.jalgebra.2023.10.031
  • Biswas, I.; Brambila-Paz, L.; Newstead, P. E.; Stability and deformations of generalised Picard sheaves Manuscripta Math. 173 (2024), no. 1-2, 637–666. doi:10.1007/s00229-023-01468-5
  • Brambila-Paz, L.; Newstead, P. E.; New examples of twisted Brill-Noether loci I Internat. J. Math. 35 (2024), no. 9, Paper No. 2441003, 20 pp. doi:10.1142/s0129167x24410039
  • Brambila-Paz, L.; Ríos-Sierra, R.; Moduli of unstable bundles of HN-length two with fixed algebra of endomorphisms Contemp. Math., 803 American Mathematical Society, [Providence], RI, 2024, 79–102.
  • Javier Carvajal-Rojas, Anne Fayolle, On tame ramification and centers of -purity Journal of the London Mathematical Society, Volume 110, Issue4 October 2024. doi.org/10.1112/jlms.12993
  • De Stefani, Alessandro; Montaño, Jonathan; Núñez-Betancourt, Luis Blowup algebras of determinantal ideals in prime characteristic, J. London. Math. Soc. (2) 110 (2024) no 2, paper No. e12969 DOI: 10.1112/jlms.12969
  • Espinosa-Valdéz, Carlos; Núñez-Betancourt, Luis; Pitones, Yuriko Regularity index of the generalized minimum distance function J. Pure Appl. Algebra 228 (2024), no. 5, 107567. DOI: j.jpaa.2023.107567
  • González Pérez P.D., González Villa M., Guzmán Durán C.R., and M. Robredo Bruces, Multiplier ideals of plane curve singularities via Newton polygons, Communications in Algebra, Volume 52, 2024 - Issue 3, Pages 1142-1162.
  • Espinosa-Valdéz, Carlos; Núñez-Betancourt, Luis; Pitones, Yuriko Regularity index of the generalized minimum distance function J. Pure Appl. Algebra 228 (2024), no. 5, 107567. DOI: j.jpaa.2023.107567
  • Otto Romero; The Hodge Laplacian operator on 1-forms on H and 1-form E1a, Funct. Approx. Comment. Math. Advance Publication 1-18 (2024). DOI: 10.7169/facm/2144

2023

  • Àlvarez Montaner, Josep; Hernández, Daniel J.; Jeffries, J; Núñez-Betancourt, Luis; Teixeira, P.; Witt, E.; Bernstein's inequality and holonomicity for certain singular rings, INt. Math. Res. Not., to appear. DOI: arXiv.10.48550/2103.02986
  • Brambila-Paz, L; Rios, R; Moduli of unstable modules of HN-length two ith fixed algebra of endomorphisms, Moduli Spaces and Vector Bundles - New Trends, AMS in Contemporary Mathematics, to appear. DOI: 10.48550/arXiv.2203.08986
  • Javier Carvajal-Rojas and Axel Stabler, On the local ´etale fundamental group of KLT threefold singularities Algebraic Geometry 10 (6) (2023) 694–72
  • Cotterill, Ethan; Garay López, Cristhian; Luviano, Johana; Exploring tropical differential equations Adv. Geom. 23 (2023), no. 4, 437–460. DOI: advgeom-2023-0019
  • Nuñez Betancourt, Luis; Nash blowups of toric varieties in positive characteristics, Collect. Math. to appear. DOI:10.48550/arXiv.2208.05599
  • Falkensteiner, Sebastian; Garay-López, Cristhian; Haiech, Mercedes; Noordman, Marc Paul; Boulier, François; Toghani, Zeinab; On initials and the fundamental theorem of tropical partial differential algebraic geometry J. Symbolic Comput. 115 (2023), 53–73. DOI: j.jsc.2022.08.005
  • Gómez-Mont, X; de la Rosa, M.A.; Bilinear Forms in the Jacobian Module and Binding of N-Spectral Chains of a Hypersurface with an Isolated Singularity, Boletín de la SMM, to appear. DOI: arXiv.2202.05375
  • Jeffries, Jack; Núñez-Betancourt, Luis; Quinlan-Gallego, Eamon.; Bernstein-Sato theory for singular rings in positive characteristic. Trans. Amer. Math. Soc., to appear. DOI: 10.1090/tran/8917
  • De Stefani, Alessandro; Montaño, Jonathan; Núñez-Betancourt, Luis Purity of monoids and characteristic-free splittings in semigroup rings. Math. Z.305(2023), no.2, Paper No. 31, 20 pp. DOI: s00209-023-03358-8
  • Verjovski, A., Zenteno, A., Bianchi and Hilbert–Blumenthal quaternionic orbifolds, Geometriae Dedicata volume 217, Article number: 108 (2023)

2022

  • Artal-Bartolo, Enrique; González Villa, Manuel; On maximal order poles of generalized topological zeta functions, p-Adic Analysis, Arithmetica, and Singularities, Contemporary Mathematics 778, AMS, 2022.
  • Àlvarez Montaner, Josep; Hernández, Daniel J.; Jeffries, J; Núñez-Betancourt, Luis; Teixeira, P.; Witt, E.; Bernstein–Sato functional equations, 𝑉 -filtrations, and multiplier ideals of direct summands, Communications in Contemporary MathematicsVol. 24, No. 10, 2150083 (2022) DOI: 10.1142/S0219199721500838
  • Badilla-Céspedes, Wágner; Núñez-Betancourt, Luis; Rodríguez-Villalobos, Sandra F-volumes. J. Algebra 595 (2022), 14–37.doi:10.1016/j.jalgebra.2021.12.002
  • Castorena, A; Gendron, Q; On the locus of genus 3 curves that admit meromorphic differentials with a zero of order 6 and a pole of order 2, Ann Inst. Fourier (grenoble) 72 (2022), n0, 1, 261-299. DOI:10.5802/aif.3472/
  • León Cardenal, E; Archimedean zeta functions and oscillatory integrals. p-Adic analysis, arithmetic and singularities. Contemp. Math., 778 , 3-24. Amer. Math. Soc., (2022).
  • León Cardenal, E; Bolivar-Barbosa F. and Rodríguez-Vega J.J. A new class of p-adic Lipschitz functions and multidimensional Hensel's lemma. P-Adic Num. Ultrametr. Anal. Appl. 14, 1–13 (2022).
  • León Cardenal, E; Zambrano-Luna B. A. and Zúñiga-Galindo W. A.) Graphs, local zeta functions, Log-Coulomb Gases, and phase transitions at finite temperature. J. Math. Phys. 63, 013506 (2022).

2021

  • Badilla-Céspedes, Wágner. F-invariants of Stanley-Reisner rings. J. Pure Appl. Algebra 225 (2021), no. 9, Paper No. 106671, 19 pp. doi:10.1016/j.jpaa.2021.106671
  • Calvo-Andrade, Omegar; Corrêa, Maurício; Jardim, Marcos Codimension one distributions and stable rank 2 reflexive sheaves on threefolds. An. Acad. Brasil. Ciênc. 93 (2021), suppl. 3, Paper No. e20190909, 14 pp. doi:10.1590/0001-3765202120190909
  • Campillo, Antonio; Olivares, Jorge; Cayley-Bacharach and singularities of foliations. Bull. Braz. Math. Soc. (N.S.) 52 (2021), no. 3, 477–498. doi:10.1007/s00574-020-00214-9
  • Cruz-López, Manuel; López-Hernández, Francisco J. Bohr-Fourier series on solenoids via its transversal variation. J. Geom. Anal. 31 (2021), no. 11, 11428–11444. doi:10.1007/s12220-021-00688-z
  • Duarte, Daniel; Núñez-Betancourt, Luis; Higher Nash blowups of normal toric varieties in prime characteristic. Tohoku Math. J. (2) 73 (2021), no. 3, 449–462. doi:10.2748/tmj.20200618
  • Galindo, Carlos; Monserrat, Francisco; Olivares, Jorge; Foliations with isolated singularities on Hirzebruch surfaces. Forum Math. 33 (2021), no. 6, 1471–1486.doi:10.1515/forum-2021-0135
  • Gendron, Quentin; Tahar, Guillaume. Différentielles abéliennes à singularités prescrites. (French) [[Abelian differentials with prescribed singularities]] J. Éc. polytech. Math. 8 (2021), 1397--1428. doi:10.5802/jep.174
  • Leykin, Anton; Martín del Campo, Abraham; Sottile, Frank; Vakil, Ravi; Verschelde, Jan Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm. Math. Comp. 90 (2021), no. 329, 1407–1433.doi:10.1090/mcom/3579
  • Montaño, Jonathan; Núñez-Betancourt, Luis; Splittings and symbolic powers of square-free monomial ideals. Int. Math. Res. Not. IMRN 2021, no. 3, 2304–2320.doi:10.1093/imrn/rnz138
  • Nieto-Baños, Isidro; del Angel-Rodriguez, Pedro Luis; Variation of mixed Hodge structures associated to an equisingular one-dimensional family of Calabi-Yau threefolds. Canad. J. Math. 73 (2021), no. 2, 441–464. doi:10.4153/S0008414X20000024
  • Núñez-Betancourt, Luis; Pitones, Yuriko; Villarreal, Rafael H. Bounds for the minimum distance function. An. Ştiinţ. Univ. "Ovidius'' Constanţa Ser. Mat. 29 (2021), no. 3, 229–242.doi:10.2478/auom-2021-0042
  • De Stefani, Alessandro; Grifo, Eloísa; Núñez-Betancourt, Luis; Local cohomology and Lyubeznik numbers of F-pure rings. J. Algebra 571 (2021), 316–338. doi:10.1016/j.jalgebra.2018.07.014
  • Portilla Cuadrado, Pablo; Sigurðsson, Baldur. Mixed tête-à-tête twists as monodromies associated with holomorphic function germs. Geom. Dedicata 210 (2021), 43--64. doi:10.1007/s10711-020-00533-7
  • Portilla Cuadrado, Pablo. Positive factorizations of pseudoperiodic homeomorphisms. Math. Ann. 379 (2021), no. 3-4, 1173--1203. doi:10.1007/s00208-020-02110-5

2020

  • Aguilar-Arteaga, Victor A.;  Cruz-López, Manuel;  Estala-Arias, Samuel . Non-Archimedean analysis and a wave-type pseudodifferential equation on finite adèles.  J. Pseudo-Differ. Oper. Appl.  11  (2020),  no. 3, 1139--1181. doi:10.1007/s11868-020-00343-1
  • Alcántara, Claudia R.; Pantaleón-Mondragón, Rubí. Foliations on ℂℙ2 with a unique singular point without invariant algebraic curves. Geom. Dedicata 207 (2020), 193--200.doi:10.1007/s10711-019-00492-8
  • Bonatti, Christian; Gómez-Mont, Xavier; Martínez, Matilde. (2020). Foliated hyperbolicity and foliations with hyperbolic leaves. Ergodic Theory and Dynamical Systems, 40 (2020), no. 4, 881-903.  doi:10.1017/etds.2018.61
  • Brambila-Paz, L.; Mata-Gutiérrez, O. (t,ℓ)-stability and coherent systems. Glasg. Math. J. 62 (2020), no. 3, 661–672. doi:10.1017/S0017089519000405
  • Calvo-Andrade, Omegar; Corrêa, Maurício; Jardim, Marcos Codimension one holomorphic distributions on the projective three-space. Int. Math. Res. Not. IMRN 2020, no. 23, 9011–9074. doi:10.1093/imrn/rny251
  • Calvo-Andrade, Omegar; Rodríguez Díaz, Lázaro O.; Sá Earp, Henrique N. Gauge theory and G2-geometry on Calabi-Yau links. Rev. Mat. Iberoam. 36 (2020), no. 6, 1753–1778. doi:10.4171/rmi/1182
  • Cotterill, Ethan; Garay, Cristhian; Inflection divisors of linear series on an elliptic curve. Mat. Contemp. 47 (2020), 73–81. doi:10.21711/231766362020/rmc473
  • Cruz-López, Manuel; López-Hernández, Francisco J.; Verjovsky, Alberto. Some aspects of rotation theory on compact abelian groups. Colloq. Math. 161 (2020), no. 1, 131–155.doi:10.4064/cm7593-12-2018
  • Falkensteiner, Sebastian; Garay-López, Cristhian; Haiech, Mercedes; Noordman, Marc Paul; Toghani, Zeinab; Boulier, François The fundamental theorem of tropical partial differential algebraic geometry. ISSAC'20—Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, 178–185, ACM, New York, [2020], ©2020. doi:10.1145/3373207.3404040
  • Juan Salvador Garza Ledesma. El Porismo de Poncelet Parte I, Boletín de la Sociedad Mexicana de Computación Científica y sus Aplicaciones, 5(2) (2019), p 26 -- 33. URL https://www.scipedia.com/public/Ledesma_2020a
  • Juan Salvador Garza Ledesma. El Porismo de Poncelet Parte II, Boletín de la Sociedad Mexicana de Computación Científica y sus Aplicaciones, 5(3) (2019), p 34 -- 41. URL https://www.scipedia.com/public/Ledesma_2020b
  • León-Cardenal, Edwin; Martín-Morales, Jorge; Veys, Willem; Viu-Sos, Juan Motivic zeta functions on ℚ-Gorenstein varieties. Adv. Math. 370 (2020), 107192, 34 pp.doi:10.1016/j.aim.2020.107192
  • Montejano, Luis Pedro; Núñez-Betancourt, Luis; b-vectors of chordal graphs. J. Commut. Algebra 12 (2020), no. 4, 539–557.doi:10.1216/jca.2020.12.539
  • Núñez-Betancourt, Luis; Smirnov, Ilya Hilbert-Kunz multiplicities and F-thresholds. Bol. Soc. Mat. Mex. (3) 26 (2020), no. 1, 15–25.doi:10.1007/s40590-018-0226-6
  • Roa-Leguizamón, L. Segre invariant and a stratification of the moduli space of coherent systems. Internat. J. Math. 31 (2020), no. 14, 2050117, 32 pp. doi:10.1142/S0129167X20501177

2019

  • Aroca, Fuensanta; Gómez-Morales, Mirna; León-Cardenal, Edwin; On Archimedean zeta functions and Newton polyhedra. J. Math. Anal. Appl. 473 (2019), no. 2, 1215–1233.doi:10.1016/j.jmaa.2019.01.017
  • Biswas, Indranil; Cotterill, Ethan; Garay López, Cristhian; Real inflection points of real hyperelliptic curves. Trans. Amer. Math. Soc. 372 (2019), no. 7, 4805–4827. doi:10.1090/tran/7721
  • Brambila-Paz, L. Mata-Gutiérrez, O.; Newstead, P. E.; Ortega, Angela Generated coherent systems and a conjecture of D. C. Butler. Internat. J. Math. 30 (2019), no. 5, 195--224. doi:10.1142/S0129167X19500241
  • Brenner, Holger; Jeffries, Jack; Núñez-Betancourt, Luis; Quantifying singularities with differential operators. Adv. Math. 358 (2019), 106843, 89 pp. doi:10.1016/j.aim.2019.106843
  • del Ángel R., P. Luis; Doran, C.; Kerr, M.; Lewis, J.; Iyer, J.; Müller-Stach, S.; Patel, D. Specialization of cycles and the K-theory elevator. Commun. Number Theory Phys. 13 (2019), no. 2, 299–349. doi:10.4310/CNTP.2019.v13.n2.a2
  • Calvo-Andrade, Omegar; Molinuevo, Ariel; Quallbrunn, Federico On the geometry of the singular locus of a codimension one foliation in ℙn. Rev. Mat. Iberoam. 35 (2019), no. 3, 857–876. doi:10.4171/rmi/1073
  • E. Cotterill, C. Garay, Real inflection points of real linear series on an elliptic curve. Experimental Mathematics Volume 31, 2022 - Issue 2 (2019) 506--517. doi:10.1080/10586458.2019.1655815
  • Hernández, Daniel J.; Núñez-Betancourt, Luis; Pérez, Felipe; Witt, Emily E. Lyubeznik numbers and injective dimension in mixed characteristic. Trans. Amer. Math. Soc. 371 (2019), no. 11, 7533–7557.doi:10.1090/tran/7310
  • León-Cardenal, Edwin; Zúñiga-Galindo, W. A. An introduction to the theory of local zeta functions from scratch. Rev. Integr. Temas Mat. 37 (2019), no. 1, 45–76.
  • Núñez-Betancourt, Luis; Spiroff, Sandra; Witt, Emily E. Connectedness and Lyubeznik numbers. Int. Math. Res. Not. IMRN 2019, no. 13, 4233–4259.doi:10.1093/imrn/rny126
  • Pérez-Buendía, J. Rogelio; A Kulikov-type classification theorem for a one parameter family of K3-surfaces over a p-adic field and a good reduction criterion. Ann. Math. Qué. 43 (2019), no. 2, 411–434.doi:10.1007/s40316-018-0110-9

2018

  • Albarracín-Mantilla, Adriana A.; León-Cardenal, Edwin; Igusa's local zeta functions and exponential sums of arithmetically non degenerate polynomials. J. Théor. Nombres Bordeaux 30 (2018), no. 1, 331–354. doi:10.5802/jtnb.1028
  • Alcántara, Claudia R. Foliations on ℂℙ2 of degree d with a singular point with Milnor number d2+d+1. Rev. Mat. Complut. 31 (2018), no. 1, 187--199. doi:10.1007/s13163-017-0239-0
  • Campillo, Antonio; Olivares, Jorge; Foliations by curves uniquely determined by minimal subschemes of its singularities. J. Singul. 18 (2018), 105–113. doi:10.5427/jsing.2018.18g
  • Cruz-López, Manuel; Estala-Arias, Samuel. A random walk on the profinite completion of a finitely generated group. Statist. Probab. Lett. 143 (2018), 7–16. doi:10.1016/j.spl.2018.07.016
  • Hernández, Daniel J.; Núñez-Betancourt, Luis; Pérez, Felipe; Witt, Emily E. Cohomological dimension, Lyubeznik numbers, and connectedness in mixed characteristic. J. Algebra 514 (2018), 442–467. doi:10.1016/j.jalgebra.2018.07.019
  • De Stefani, Alessandro; Núñez-Betancourt, Luis; Pérez, Felipe. On the existence of F-thresholds and related limits. Trans. Amer. Math. Soc. 370 (2018), no. 9, 6629–6650. doi:10.1090/tran/7176
  • Dao, Hailong; De Stefani, Alessandro; Grifo, Eloísa; Huneke, Craig; Núñez-Betancourt, Luis; Symbolic powers of ideals. Singularities and foliations. geometry, topology and applications, 387–432, Springer Proc. Math. Stat., 222, Springer, Cham, 2018. doi:10.1007/978-3-319-73639-6_13
  • González Villa, Manuel; Kennedy, Gary; McEwan, Lee J. A recursive formula for the motivic Milnor fiber of a plane curve. Singularities, algebraic geometry, commutative algebra, and related topics, 203–218, Springer, Cham, 2018. doi:10.1007/978-3-319-96827-8_9
  • González Villa, Manuel; Libgober, Anatoly; Maxim, Laurenţiu. Motivic zeta functions and infinite cyclic covers. Local and global methods in algebraic geometry, 117–141, Contemp. Math., 712, Amer. Math. Soc., [Providence], RI, [2018], ©2018. doi:10.1016/j.aim.2016.04.019
  • Hernández, Daniel J.; Núñez-Betancourt, Luis; Witt, Emily E. Local m-adic constancy of F-pure thresholds and test ideals. Math. Proc. Cambridge Philos. Soc. 164 (2018), no. 2, 285–295. doi:10.1017/S0305004117000196
  • Hernández Castillo, José Jaime; Indecomposable cycles and arithmetic normal functions. Bol. Soc. Mat. Mex. (3) 24 (2018), no. 1, 61–79. doi:10.1007/s40590-016-0146-2
  • De Stefani, Alessandro; Núñez-Betancourt, Luis; F-thresholds of graded rings. Nagoya Math. J. 229 (2018), 141–168. doi:10.1017/nmj.2016.65
  • Núñez-Betancourt, Luis; Pitones, Yuriko; Villarreal, Rafael H. Footprint and minimum distance functions. Commun. Korean Math. Soc. 33 (2018), no. 1, 85–101. doi:10.4134/CKMS.c170139
  • Olivares, Jorge; Foliations in the plane uniquely determined by minimal subschemes of its singularities. Singularities, algebraic geometry, commutative algebra, and related topics, 135–143, Springer, Cham, 2018. doi:10.1007/978-3-319-96827-8_6

2017

  • Aguilar-Arteaga, V. A. ;  Cruz-López, M. ;  Estala-Arias, S.  A heat equation on some adic completions of ℚ and ultrametric analysis. p-Adic Numbers Ultrametric Anal. Appl.  9  (2017),  no. 3, 165--182. doi:10.1134/S2070046617030013
  • Banerjee, Arindam; Núñez-Betancourt, Luis. Graph connectivity and binomial edge ideals. Proc. Amer. Math. Soc. 145 (2017), no. 2, 487--499.
  • Calvo-Andrade, O.; Corrêa, M.; Fernández-Pérez, A. Higher codimensional foliations with Kupka singularities. Internat. J. Math. 28 (2017), no. 3, 1750019, 29 pp.
  • De Stefani, Alessandro; Huneke, Craig; Núñez-Betancourt, Luis. Frobenius Betti numbers and modules of finite projective dimension. J. Commut. Algebra 9 (2017), no. 4, 455--490.
  • Gómez-Mont, Xavier; Núñez-Betancourt, Luis. On the hyperhomology of the small Gobelin in codimension 2. Bol. Soc. Mat. Mex. (3) 23 (2017), no. 2, 623--651.
  • León-Cardenal, Edwin. An explicit formula for the local zeta function of a Laurent polynomial. J. Number Theory  173  (2017), 230--242.
  • Martín del Campo, Abraham; Cepeda, Sarah; Uhler, Caroline. Exact goodness-of-fit testing for the Ising model. Scand. J. Stat. 44 (2017), no. 2, 285--306.
  • Martín del Campo, Abraham; Rodriguez, Jose Israel. Critical points via monodromy and local methods. J. Symbolic Comput. 79 (2017), part 3, 559--574.
  • Àlvarez Montaner, Josep; Huneke, Craig; Núñez-Betancourt, Luis. D-modules, Bernstein-Sato polynomials and F-invariants of direct summands. Adv. Math. 321 (2017), 298--325.

2016

  • Alcántara, Claudia R.; Ronzón-Lavie, Ramón. Classification of foliations on ℂℙ2 of degree 3 with degenerate singularities. J. Singul. 14 (2016), 52--73. doi:10.1007/s00208-020-02110-5
  • Alcántara, Claudia R. Stratification of the space of foliations on ℂℙ2. J. Symbolic Comput. 72 (2016), 147--160. doi:10.1007/s00208-020-02110-5
  • Brambila-Paz, L.; Torres-López, H. On Chow stability for algebraic curves. Manuscripta Math. 151 (2016), no. 3-4, 289--304.
  • Calvo-Andrade, Omegar. Foliations with a radial Kupka set on projective spaces. Bull. Braz. Math. Soc. (N.S.) 47 (2016), no. 4, 1071--1083.
  • Calvo-Andrade, Omegar; Corrêa, Maurício; Fernández-Pérez, Arturo. On non-Kupka points of codimension one foliations on ℙ3 An. Acad. Brasil. Ciênc. 88 (2016), no. 4, 2067--2080.
  • Cruz-López, M.; Estala-Arias, S.  Invariant ultrametrics and Markov processes on the finite adèle ring of ℚ. p-Adic Numbers Ultrametric Anal. Appl.  8  (2016),  no. 2, 89--114. doi:10.1134/S2070046616020011
  • Cruz-López, Manuel; Estala-Arias, Samuel;  Murillo-Salas, Antonio. A random walk on the profinite completion of ℤ. Statist. Probab. Lett.  109  (2016), 130--138. doi:10.1016/j.spl.2015.11.015
  • Cruz-López, M.; Murillo-Salas, A; A recurrent random walk on the p-adic integers. Braz. J. Probab. Stat.  30  (2016),  no. 1, 145--154. doi:10.1214/14-BJPS265
  • Martín del Campo, Abraham; Sottile, Frank. Experimentation in the Schubert calculus. Schubert calculus—Osaka 2012, 295--335, Adv. Stud. Pure Math., 71, Math. Soc. Japan, [Tokyo], 2016. doi:10.1007/s00208-020-02110-5