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-regular finitely generated graded algebras with FFRT in prime characteristic. In each of these cases, the ring itself...
| Autores: | , , , , , |
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| Tipo de recurso: | informe técnico |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/342208 |
| Acceso en línea: | https://hdl.handle.net/2117/342208 |
| Access Level: | acceso abierto |
| Palabra clave: | Commutative algebra Àlgebra commutativa Classificació AMS::14 Algebraic geometry::14F (Co)homology theory Classificació AMS::13 Commutative rings and algebras::13N Differential algebra Classificació AMS::13 Commutative rings and algebras::13A General commutative ring theory Classificació AMS::16 Associative rings and algebras::16S Rings and algebras arising under various constructions Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | 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. |
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