5 papers
Ladder determinantal varieties and their symbolic blowups
Alessandro De Stefani, Jonathan Montaño, Luis Núñez-Betancourt +2
In this article we show that the symbolic Rees algebra of a mixed ladder determinantal ideal is strongly -regular. Furthermore, we prove that the symbolic associated graded alge…
Purity of monoids and characteristic-free splittings in semigroup rings
Alessandro De Stefani, Jonathan Montaño, Luis Núñez-Betancourt
Inspired by methods in prime characteristic in commutative algebra, we introduce and study combinatorial invariants of seminormal monoids. We relate such numbers with the singulari…
Nash blowups of toric varieties in prime characteristic
Daniel Duarte, Jack Jeffries, Luis Núñez-Betancourt
We initiate the study of the resolution of singularities properties of Nash blowups over fields of prime characteristic. We prove that the iteration of normalized Nash blowups desi…
Frobenius methods in combinatorics
Alessandro De Stefani, Jonathan Montaño, Luis Núñez-Betancourt
We survey results produced from the interaction between methods in prime characteristic and combinatorial commutative algebra. We showcase results for edge ideals, toric varieties,…
Bernstein-Sato polynomial and related invariants for meromorphic functions
Josep Àlvarez Montaner, Manuel González Villa, Edwin León-Cardenal +1
We develop a theory of Bernstein-Sato polynomials for meromorphic functions and we use it to study the analytic continuation of Archimedian local zeta functions in this setting. We…