7 citations · 8 across the 4 of their papers we have counts for
24 papers
Bernstein-Sato theory for singular rings in positive characteristic
Jack Jeffries, Luis Núñez-Betancourt, Eamon Quinlan-Gallego
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…
Blowup algebras of determinantal ideals in prime characteristic
Alessandro De Stefani, Jonathan Montaño, Luis Núñez-Betancourt
We study when blowup algebras are -split or strongly -regular. Our main focus is on algebras given by symbolic and ordinary powers of ideals of minors of a generic matrix, a…
Bernstein-Sato polynomials in commutative algebra
Josep Àlvarez Montaner, Jack Jeffries, Luis Núñez-Betancourt
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.
Bernstein's inequality and holonomicity for certain singular rings
Josep Àlvarez Montaner, Daniel J. Hernández, Jack Jeffries +3
In this manuscript we prove the Bernstein inequality and develop the theory of holonomic D-modules for rings of invariants of finite groups in characteristic zero, and for strongly…
Poincaré series of multiplier and test ideals
Josep Àlvarez Montaner, Luis Núñez-Betancourt
We prove the rationality of the Poincaré series of multiplier ideals in any dimension and thus extending the main results for surfaces of Galindo and Monserrat and Alberich-Carrami…
Bounds for the Minimum Distance Function
Luis Núñez-Betancourt, Yuriko Pitones, Rafael H. Villarreal
Let be a homogeneous ideal in a polynomial ring . In this paper, we extend the study of the asymptotic behavior of the minimum distance function of and give bounds…