Bernstein's inequality and holonomicity for certain singular rings

Autor:	Montaner, Josep Àlvarez, Hernández, Daniel J., Jeffries, Jack, Núñez-Betancourt, Luis, Teixeira, Pedro, Witt, Emily E.
Rok vydání:	2021
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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-regular finitely generated graded algebras with FFRT in prime characteristic. In each of these cases, the ring itself, its localizations, and its local cohomology modules are holonomic. We also show that holonomic D-modules, in this context, have finite length. We obtain these results using a more general version of Bernstein filtrations. Comment: 40 pages. Added new Section 4.3 and Section 5.3. Comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.02986 Zobrazit plný text záznamu View this record from Arxiv