Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/145222
Title: | Generic vanishing index and the birationality of the bicanonical map of irregular varieties |
Author: | Lahoz Vilalta, Martí |
Keywords: | Geometria algebraica Cicles algebraics Algebraic geometry Algebraic cycles |
Issue Date: | Dec-2012 |
Publisher: | Springer Verlag |
Abstract: | We prove that any smooth complex projective variety with generic vanishingindex bigger or equal than 2 has birational bicanonical map. Therefore, if $X$ is a smoothcomplex projective variety $\varphi$ with maximal Albanese dimension and non-birational bicanonical map, then the Albanese image of $X$ is fibred by subvarieties of codimension at most 1 of an abelian subvariety of Alb $X$. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1007/s00209-011-0975-7 |
It is part of: | Mathematische Zeitschrift, 2012, vol. 272, num. 3-4, p. 1075-1086 |
URI: | http://hdl.handle.net/2445/145222 |
Related resource: | https://doi.org/10.1007/s00209-011-0975-7 |
ISSN: | 0025-5874 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
673681.pdf | 307.42 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.