ON A BERNSTEIN–SATO POLYNOMIAL OF A MEROMORPHIC FUNCTION
K Takeuchi - Nagoya Mathematical Journal, 2023 - cambridge.org
We define Bernstein–Sato polynomials for meromorphic functions and study their basic
properties. In particular, we prove a Kashiwara–Malgrange-type theorem on their geometric …
properties. In particular, we prove a Kashiwara–Malgrange-type theorem on their geometric …
Bernstein's inequality and holonomicity for certain singular rings
JÀ Montaner, DJ Hernández, J Jeffries… - International …, 2023 - academic.oup.com
In this manuscript, we prove the Bernstein inequality and develop the theory of holonomic-
modules for rings of invariants of finite groups in characteristic zero, and for strongly-regular …
modules for rings of invariants of finite groups in characteristic zero, and for strongly-regular …
Effective generic freeness and applications to local cohomology
Y Cid-Ruiz, I Smirnov - arXiv preprint arXiv:2302.08196, 2023 - arxiv.org
Let $ A $ be a Noetherian domain and $ R $ be a finitely generated $ A $-algebra. We study
several features regarding the generic freeness over $ A $ of an $ R $-module. For an ideal …
several features regarding the generic freeness over $ A $ of an $ R $-module. For an ideal …
[PDF][PDF] A note on Bernstein-Sato ideals
JÀ Montaner - arXiv preprint arXiv:2109.00244, 2021 - arxiv.org
arXiv:2109.00244v1 [math.AC] 1 Sep 2021 Page 1 A NOTE ON BERNSTEIN-SATO IDEALS
JOSEP ÀLVAREZ MONTANER Abstract. We define the Bernstein-Sato ideal associated to a …
JOSEP ÀLVAREZ MONTANER Abstract. We define the Bernstein-Sato ideal associated to a …
Bernstein–Sato theory for determinantal ideals in positive characteristic
P López Sancha - 2023 - upcommons.upc.edu
Let R a polynomial ring over a field k. An algebraic variety over k is a set of points given as
the zero loci of polynomials in R. In order to study these varieties and their singularities, a …
the zero loci of polynomials in R. In order to study these varieties and their singularities, a …
Interpretació analítica d'estratificacions pel polinomi de Bernstein-Sato
M Morella Giménez - 2024 - upcommons.upc.edu
En aquest treball de final de grau ens centrarem en el problema de classificació analítica de
branques amb un exponent característic. El nostre objectiu és construir una estratificació per …
branques amb un exponent característic. El nostre objectiu és construir una estratificació per …