Publicaciones

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
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

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; López, Cristhian Garay; Luviano, Johana; Exploring tropical differential equations Adv. Geom. 23 (2023), no. 4, 437–460. DOI: advgeom-2023-0019
Duarte, Daniel; Jeffries, Jack; 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
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, published online on September 22, 2023.
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, LuisPurity 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/
Duarte, Daniel; Núñez-Betancourt, Luis.; Nash blowups in prime characteristic. Rev. Mat. Iberoam. 38 (2022), no. 1, 257-267. DOI: 10.4171/RMI/1278
S. Falkensteiner, C. Garay, M Haiech, et. al., On Initials and the Fundamental Theorem of Tropical Partial Differential Geometry. Journal of Symbolic Computation (Elsevier, 2023), ISSN 0747-7171. doi:10.1016/j.jsc.2022.08.005.
C. Garay, Introducción a las ecuaciones diferenciales tropicales. Mixba'al, Revista Metropolitana de Matemáticas. Vol.13, No.1 (2022), p.p 11-28. DOI
González Villa, Manuel; Jaramillo Vélez, Delio; Nuñez Betancourt, Luis; F-thresholds and test ideals of Thom-Sebastiani type polynomials, log canonical threshold. Proc. of the AMS 2022. doi:10.1090/proc/16025
Jeffries, Jack; Smirnov, Ilya. A transformation rule for natural multiplicities. Int. Math. Res. Not. IMRN 2022, no. 2, 999-1015. doi.org/10.1093/imrn/rnaa083
León-Cardenal, Edwin; Jaime Rodriguez-Vega, John; Bolivar-Barbosa, Fausto; A New Class of p-Adic Lipschitz Functions and Multidimensional Hensel's Lemma. p-Adic Numbers Ultrametric Anal. Appl. 14 (2022), no. 1, 1–13. doi:10.1134/S2070046622010010
León-Cardenal, Edwin; Archimedean zeta functions and oscillatory integrals. p-Adic Analysis, Arithmetica, and Singularities, Contemporary Mathematics 778, AMS, 2022.
J. Rogelio Perez-Buendia, Yuriria Cortes-Poza, Pablo Padilla-Longoria, Epigenetic forest and flower morphogenesis, Computational Biology and Chemistry, Elsevier, June 2022. DOI: 10.1016/j.compbiolchem.2022.10766
Sosa-Gómez, G.; Paez-Osuna, O.; Rojas, O.; del Ángel Rodríguez, P.L.; Kanarek, H.; Madarro-Capó, E.J. Construction of Boolean Functions from Hermitian Codes. Mathematics 2022, 10, 899. doi:10.3390/math10060899
Zúñiga-Galindo, W. A.; Zambrano-Luna, B. A.; León-Cardenal, E.; Graphs, local zeta functions, log-Coulomb gases, and phase transitions at finite temperature. J. Math. Phys. 63 (2022), no. 1, Paper No. 013506, 21 pp.doi:10.1063/5.0070683

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