\(D\)-modules over rings with finite F-representation type

DOI10.4310/MRL.2008.v15.n3.a15zbMath1147.13001arXiv0706.3842OpenAlexW2963249529MaRDI QIDQ935896

Shunsuke Takagi, Ryo Takahashi

Publication date: 12 August 2008

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3842

zbMATH Keywords

D-moduleslocal cohomologyfinite F-representation typeassociated primes of local cohomologyF-jumping numbers

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Commutative rings of differential operators and their modules (13N10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (20)

Bernstein–Sato functional equations, V-filtrations, and multiplier ideals of direct summands ⋮ Local Cohomology—An Invitation ⋮ $F$-singularities: applications of characteristic $p$ methods to singularity theory ⋮ \(D\)-modules, Bernstein-Sato polynomials and \(F\)-invariants of direct summands ⋮ The FFRT property of two-dimensional normal graded rings and orbifold curves ⋮ Resolutions in local algebra and singularity theory. Abstracts from the workshop held February 5--11, 2023 ⋮ Bernstein-Sato theory for singular rings in positive characteristic ⋮ Homogeneous coordinate rings as direct summands of regular rings ⋮ The level of pairs of polynomials ⋮ One-dimensional rings of finite F-representation type ⋮ $D$-module structure of local cohomology modules of toric algebras ⋮ The associated graded module of the test module filtration ⋮ Annihilators of local cohomology modules and simplicity of rings of differential operators ⋮ Finiteness properties and numerical behavior of local cohomology ⋮ Discreteness and rationality of \(F\)-jumping numbers on singular varieties ⋮ ON THE ASSOCIATED PRIMES OF LOCAL COHOMOLOGY ⋮ FFRT properties of hypersurfaces and their F-signatures ⋮ Positive characteristic algebraic geometry ⋮ Poincaré series of multiplier and test ideals ⋮ Rings of Frobenius operators

This page was built for publication: \(D\)-modules over rings with finite F-representation type