On Mumford's construction of degenerating abelian varieties
| dc.creator | Alexeev, Valery | |
| dc.creator | Nakamura, Iku | |
| dc.date | 1996-08-17 | |
| dc.date | 1999-05-18 | |
| dc.date.accessioned | 2026-07-07T09:01:45Z | |
| dc.date.available | 2026-07-07T09:01:45Z | |
| dc.description | We prove that a 1-dimnl family of abelian varieties with an ample sheaf defining principal polarization can be canonically compactified (after a finite base change) to a projective family with an ample sheaf. We show that the central fiber (P,L), which we call an SQAV, has a canonical Cartier theta divisor. We give a combinatorial definition for SQAVs and describe their geometrical properties, in particular compute cohomologies of L^n, n\ge0. | |
| dc.description | Final version, to appear in Tohoku Math. J | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9608014 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9608014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148386 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14 | |
| dc.title | On Mumford's construction of degenerating abelian varieties | |
| dc.type | text |