Bernstein-Sato polynomials in commutative algebra
J Àlvarez Montaner, J Jeffries… - … Papers Dedicated to …, 2021 - Springer
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Bernstein-Sato theory for singular rings in positive characteristic
J Jeffries, L Núñez-Betancourt… - Transactions of the …, 2023 - ams.org
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 …
polynomial ring or power series ring of characteristic zero, with interesting connections to …
Homogeneous coordinate rings as direct summands of regular rings
D Mallory - Illinois Journal of Mathematics, 2024 - projecteuclid.org
We study the question of when a ring can be realized as a direct summand of a regular ring
by examining the case of homogeneous coordinate rings. We present very strong obstacles …
by examining the case of homogeneous coordinate rings. We present very strong obstacles …
On the Tensor Property of Bernstein-Sato Polynomial
Q Shi, H Zuo - arXiv preprint arXiv:2406.04121, 2024 - arxiv.org
M. Popa proposed a question whether $ b_ {f\cdot g}(s)= b_f (s) b_g (s) $ holds for $
f\in\mathbb C [x_1,..., x_n] $ and $ g\in\mathbb C [y_1,..., y_m] $, where $ b_ {f} $, $ b_g …
f\in\mathbb C [x_1,..., x_n] $ and $ g\in\mathbb C [y_1,..., y_m] $, where $ b_ {f} $, $ b_g …
Bernstein's inequality and holonomicity for certain singular rings
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 F …
modules for rings of invariants of finite groups in characteristic zero, and for strongly F …
Differential operators, retracts, and toric face rings
C Berkesch, J Chan, P Klein, LF Matusevich… - Algebra & Number …, 2023 - msp.org
We give explicit descriptions of rings of differential operators of toric face rings in
characteristic 0. For quotients of normal affine semigroup rings by radical monomial ideals …
characteristic 0. For quotients of normal affine semigroup rings by radical monomial ideals …
Sandwich Bernstein-Sato Polynomials and Bernstein's Inequality
J Jeffries, D Lieberman - arXiv preprint arXiv:2403.13146, 2024 - arxiv.org
Bernstein's inequality is a central result in the theory of $ D $-modules on smooth varieties.
While Bernstein's inequality fails for rings of differential operators on general singularities …
While Bernstein's inequality fails for rings of differential operators on general singularities …
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 …
Differential operators, retracts, and toric face rings
C Berkesch, CY Chan, P Klein, LF Matusevich… - arXiv preprint arXiv …, 2021 - arxiv.org
We give explicit descriptions of rings of differential operators of toric face rings in
characteristic $0 $. For quotients of normal affine semigroup rings by radical monomial …
characteristic $0 $. For quotients of normal affine semigroup rings by radical monomial …
BERNSTEIN-SATO THEORY FOR SINGULAR RINGS IN POSITIVE CHARACTERISTIC
J JACK, L NÚÑEZ-BETANCOURT… - 2023 - digitalcommons.unl.edu
Abstract 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 …
a polynomial ring or power series ring of characteristic zero, with interesting connections to …