On the birational geometry of varieties of maximal Albanese dimension
| dc.creator | Hacon, C. D. | |
| dc.creator | Pardini, R. | |
| dc.date | 2001-05-09 | |
| dc.date.accessioned | 2026-07-07T04:41:38Z | |
| dc.date.available | 2026-07-07T04:41:38Z | |
| dc.description | We study the birational geometry of varieties of maximal Albanese dimension. In particular we discuss criteria for a generically finite morphism of varieties of maximal Albanese dimension to be birational; we give a new characterization of Theta divisors; we study the Albanese map and refine some of the results of Kollár; finally we use these results to birationally classify varieties with $P_3(X)=2$ and $q(X)=dim (X)$. Our method combines the generic vanishing theorems of Green and Lazarsfeld, the theory of Fourier Mukai transforms and the results of Kollàr on higher direct images of dualizing sheaves. | |
| dc.description | Latex file, 28 pages | |
| dc.identifier | https://arxiv.org/abs/math/0105070 | |
| dc.identifier | http://arxiv.org/abs/math/0105070 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61438 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J40 14K12 14E05 14K99 | |
| dc.title | On the birational geometry of varieties of maximal Albanese dimension | |
| dc.type | text |