Characterization of products of theta divisors
We study products of irreducible theta divisors from two points of view. Onthe one hand, we characterize them as normal subvarieties of abelian varieties such that adesingularization has holomorphic Euler characteristic 1. On the other hand, we identify themup to birational equivalence among all var...
| Authors: | , , |
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2014 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/145257 |
| Online Access: | https://hdl.handle.net/2445/145257 |
| Access Level: | Open access |
| Keyword: | Varietats abelianes Esquemes (Geometria algebraica) Abelian varieties Schemes (Algebraic geometry) |
| Summary: | We study products of irreducible theta divisors from two points of view. Onthe one hand, we characterize them as normal subvarieties of abelian varieties such that adesingularization has holomorphic Euler characteristic 1. On the other hand, we identify themup to birational equivalence among all varieties of maximal Albanese dimension. We alsodescribe the structure of varieties $X$ of maximal Albanese dimension, with holomorphic Eulercharacteristic 1 and irregularity 2 dim $X−1$. |
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