Degenerations of Prym varieties
| dc.creator | Alexeev, V. | |
| dc.creator | Birkenhake, Ch. | |
| dc.creator | Hulek, K. | |
| dc.date | 2001-01-29 | |
| dc.date | 2002-01-08 | |
| dc.date.accessioned | 2026-07-07T04:39:52Z | |
| dc.date.available | 2026-07-07T04:39:52Z | |
| dc.description | Let $(C,ι)$ be a stable curve with an involution. Following a classical construction one can define its Prym variety $P$, which in this case turns out to be a semiabelian group variety and usually not complete. In this paper we study the question whether there are ``good'' compactifications of $P$ in analogy to compactified Jacobians. The answer to this question depends on whether we consider degenerations of principally polarized Prym varieties or degenerations with the induced (non-principal) polarization. We describe degeneration data of such degenerations. The main application of our theory lies in the case of degenerations of principally polarized Prym varieties where we ask whether such a degeneration depends on a given one-parameter family containing $(C,ι)$ or not. This allows us to determine the indeterminacy locus of the Prym map. | |
| dc.description | Final version, to appear in Crelle Journal. 51 pages, 15 *.eps pictures | |
| dc.identifier | https://arxiv.org/abs/math/0101241 | |
| dc.identifier | http://arxiv.org/abs/math/0101241 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60845 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14K10, 14D06 | |
| dc.title | Degenerations of Prym varieties | |
| dc.type | text |