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 algebraicaCicles algebraicsAlgebraic geometryAlgebraic 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)

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