Fourier Mukai Transforms for Gorenstein Schemes
| dc.creator | Ruiperez, D. Hernandez | |
| dc.creator | Martin, A. C. Lopez | |
| dc.creator | de Salas, F. Sancho | |
| dc.date | 2005-06-29 | |
| dc.date | 2006-09-10 | |
| dc.date.accessioned | 2026-07-07T06:42:32Z | |
| dc.date.available | 2026-07-07T06:42:32Z | |
| dc.description | We extend to singular schemes with Gorenstein singularities or fibered in schemes of that kind Bondal and Orlov's criterion for an integral functor to be fully faithful. We also contemplate a criterion for equivalence. We offer a proof that is new even if we restrict to the smooth case. In addition, we prove that for locally projective Gorenstein morphisms, a relative integral functor is fully faithful if and only if its restriction to each fibre also is it. These results imply the invertibility of the usual relative Fourier-Mukai transform for an elliptic fibration as a direct corollary. | |
| dc.description | Final version. To appear in Advances in Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0506593 | |
| dc.identifier | http://arxiv.org/abs/math/0506593 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102079 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 18E30 (Primary) ; 14F05, 14J27, 14E30, 13D22, 14M05 (Secondary) | |
| dc.title | Fourier Mukai Transforms for Gorenstein Schemes | |
| dc.type | text |