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...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/145257 |
| Acceso en línea: | https://hdl.handle.net/2445/145257 |
| Access Level: | acceso abierto |
| Palabra clave: | Varietats abelianes Esquemes (Geometria algebraica) Abelian varieties Schemes (Algebraic geometry) |
| Sumario: | 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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