Exploració per autor "Núñez-Betancourt, Luis"
Ara es mostren els items 1-7 de 7
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Bernstein's inequality and holonomicity for certain singular rings
Álvarez Montaner, Josep; Jeffries, Jack; Núñez-Betancourt, Luis; Hernández, Daniel J.; Teixeira, Pedro; Witt, Emily E. (2021)
Report de recerca
Accés obertIn 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 F-regular finitely generated graded ... -
Bernstein-Sato functional equations, v -filtrations, and multiplier ideals of direct summands
Álvarez Montaner, Josep; Hernández, Daniel J.; Jeffries, Jack; Núñez-Betancourt, Luis; Teixeira, Pedro; Witt, Emily E. (2021-01-01)
Article
Accés obertThis paper investigates the existence and properties of a Bernstein– Sato functional equation in nonregular settings. In particular, we construct D-modules in which such formal equations can be studied. The existence of ... -
Bernstein-Sato functional equations, V-filtrations, and multiplier ideals of direct summands
Álvarez Montaner, Josep; Jeffries, Jack; Núñez-Betancourt, Luis (2019)
Report de recerca
Accés obertThis paper investigates the existence and properties of a Bernstein– Sato functional equation in nonregular settings. In particular, we construct D-modules in which such formal equations can be studied. The existence of ... -
Bernstein-Sato polynomials in commutative algebra
Álvarez Montaner, Josep; Jeffries, Jack; Núñez-Betancourt, Luis (Springer Nature, 2022-02-23)
Capítol de llibre
Accés restringit per política de l'editorialThis is an expository survey on the theory of Bernstein-Sato polynomials with special emphasis in its recent developments and its importance in commutative algebra -
D-modules, Bernstein-Sato polynomials and F-invariants of direct summands
Álvarez Montaner, Josep; Huneke, Craig; Núñez-Betancourt, Luis (2017-12-01)
Article
Accés obertWe study the structure of D -modules over a ring R which is a direct sum- mand of a polynomial or a power series ring S with coefficients over a field. We relate properties of D -modules over R to D -modules over S . We ... -
Poincaré series of multiplier and test ideals
Álvarez Montaner, Josep; Núñez-Betancourt, Luis (2021)
Report de recerca
Accés obertWe 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-Carramiñana et al. Our results also hold for ... -
Poincaré series of multiplier and test ideals
Álvarez Montaner, Josep; Núñez-Betancourt, Luis (2022-04-29)
Article
Accés obertWe prove the rationality of the Poincaré series of multiplier ideals in any dimension thus extending the main results for surfaces of Galindo and Monserrat and Alberich-Carramiñana et al. Our results also hold for Poincaré ...