Dualizing Complexes and Perverse Modules over Differential Algebras
| dc.creator | Yekutieli, Amnon | |
| dc.creator | Zhang, James J. | |
| dc.date | 2003-01-28 | |
| dc.date | 2004-07-14 | |
| dc.date.accessioned | 2026-07-07T04:54:43Z | |
| dc.date.available | 2026-07-07T04:54:43Z | |
| dc.description | A differential algebra of finite type over a field k is a filtered algebra A, such that the associated graded algebra is finite over its center, and the center is a finitely generated k-algebra. The prototypical example is the algebra of differential operators on a smooth affine variety, when char k = 0. We study homological and geometric properties of differential algebras of finite type. The main results concern the rigid dualizing complex over such an algebra A: its existence, structure and variance properties. We also define and study perverse A-modules, and show how they are related to the Auslander property of the rigid dualizing complex of A. | |
| dc.description | 38 pages; minor changes; final version, to appear in Compositio Math | |
| dc.identifier | https://arxiv.org/abs/math/0301323 | |
| dc.identifier | http://arxiv.org/abs/math/0301323 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66369 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Primary: 16D90; Secondary: 18G10, 16S32, 16W70, 16U20 | |
| dc.title | Dualizing Complexes and Perverse Modules over Differential Algebras | |
| dc.type | text |