Descent of coherent sheaves and complexes to geometric invariant theory quotients
| dc.creator | Nevins, Thomas | |
| dc.date | 2002-06-27 | |
| dc.date | 2008-04-19 | |
| dc.date.accessioned | 2026-07-07T09:33:33Z | |
| dc.date.available | 2026-07-07T09:33:33Z | |
| dc.description | Fix a scheme $X$ over a field of characteristic zero that is equipped with an action of a reductive algebraic group $G$. We give necessary and sufficient conditions for a $G$-equivariant coherent sheaf on $X$ or a bounded-above complex of $G$-equivariant coherent sheaves on $X$ to descend to a good quotient $X//G$. This gives a description of the coherent derived category of $X//G$ as an admissible subcategory of the equivariant derived category of $X$. | |
| dc.description | substantially revised | |
| dc.identifier | https://arxiv.org/abs/math/0206297 | |
| dc.identifier | http://arxiv.org/abs/math/0206297 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159172 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Descent of coherent sheaves and complexes to geometric invariant theory quotients | |
| dc.type | text |