Bernstein's inequality and holonomicity for certain singular rings
Commutative Algebra
2022-04-18 v2 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.2103.02986,
title = {Bernstein's inequality and holonomicity for certain singular rings},
author = {Josep Àlvarez Montaner and Daniel J. Hernández and Jack Jeffries and Luis Núñez-Betancourt and Pedro Teixeira and Emily E. Witt},
journal= {arXiv preprint arXiv:2103.02986},
year = {2022}
}
Comments
40 pages. Added new Section 4.3 and Section 5.3. Comments welcome