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Generic vanishing index and the birationality of the bicanonical map of irregular varieties

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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 $X$.

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Articles publicats en revistes (Matemàtiques i Informàtica)

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Generic vanishing index and the birationality of the bicanonical map of irregular varieties