Regularity on abelian varieties I
| dc.creator | Pareschi, Giuseppe | |
| dc.creator | Popa, Mihnea | |
| dc.date | 2001-09-30 | |
| dc.date | 2003-06-05 | |
| dc.date.accessioned | 2026-07-07T04:43:35Z | |
| dc.date.available | 2026-07-07T04:43:35Z | |
| dc.description | We introduce the notion of Mukai regularity (M-regularity) for coherent sheaves on abelian varieties. The definition is based on the Fourier-Mukai transform, and in a special case depending on the choice of a polarization it parallels and strenghtens the usual Castelnuovo-Mumford regularity. Mukai regularity has a large number of applications, ranging from basic properties of linear series on abelian varieties and defining equations for their subvarieties, to higher dimensional type statements and to a study of special classes of vector bundles. Some of these applications are explained here, while others make the subject of upcoming papers. | |
| dc.description | 18 pages; final version, with substantial changes in the order of presentation in Section 2, and other minor expository changes, as suggested by the referee | |
| dc.identifier | https://arxiv.org/abs/math/0110003 | |
| dc.identifier | http://arxiv.org/abs/math/0110003 | |
| dc.identifier | J. Amer. Math. Soc. 16 (2003), no.2, 285-302 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62286 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14K05; 14K12 | |
| dc.title | Regularity on abelian varieties I | |
| dc.type | text |