Zobrazeno 1 - 10
of 438
pro vyhledávání: '"Betancourt, Luis"'
Autor:
De Stefani, Alessandro, Montaño, Jonathan, Núñez-Betancourt, Luis, Seccia, Lisa, Varbaro, Matteo
In this article we show that the symbolic Rees algebra of a mixed ladder determinantal ideal is strongly $F$-regular. Furthermore, we prove that the symbolic associated graded algebra of a mixed ladder determinantal ideal is $F$-pure. The latter impl
Externí odkaz:
http://arxiv.org/abs/2305.18167
We show that the generalized minimum distance function is non-increasing as the degree varies for reduced standard graded algebras over a field. This allows us to define its regularity index and its stabilization value. The stabilization value is com
Externí odkaz:
http://arxiv.org/abs/2211.11927
Inspired by methods in prime characteristic in commutative algebra, we introduce and study combinatorial invariants of seminormal monoids. We relate such numbers with the singularities and homological invariants of the semigroup ring associated to th
Externí odkaz:
http://arxiv.org/abs/2210.03358
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 desingularizes normal toric surfaces. We also introduce a prime characteri
Externí odkaz:
http://arxiv.org/abs/2208.05599
We survey results produced from the interaction between methods in prime characteristic and combinatorial commutative algebra. We showcase results for edge ideals, toric varieties, Stanley-Reisner rings, and initial ideals that were proven via Froben
Externí odkaz:
http://arxiv.org/abs/2203.09902
Autor:
Montaner, Josep Àlvarez, Villa, Manuel González, León-Cardenal, Edwin, Núñez-Betancourt, Luis
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 also introduce both an analytic and an algebraic theory of multiplier
Externí odkaz:
http://arxiv.org/abs/2112.08492
The Bernstein-Sato polynomial is an important invariant of an element or an ideal in a polynomial ring or power series ring of characteristic zero, with interesting connections to various algebraic and topological aspects of the singularities of the
Externí odkaz:
http://arxiv.org/abs/2110.00129
We study when blowup algebras are $F$-split or strongly $F$-regular. Our main focus is on algebras given by symbolic and ordinary powers of ideals of minors of a generic matrix, a symmetric matrix, and a Hankel matrix. We also study ideals of Pfaffia
Externí odkaz:
http://arxiv.org/abs/2109.00592
Publikováno v:
In Journal of Pure and Applied Algebra May 2024 228(5)
This is an expository survey on the theory of Bernstein-Sato polynomials with special emphasis in its recent developments and its importance in commutative algebra.
Comment: 64 pages. Minor changes
Comment: 64 pages. Minor changes
Externí odkaz:
http://arxiv.org/abs/2106.08830