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2012-12

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/145222

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

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https://doi.org/10.1007/s00209-011-0975-7

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 $X$.

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Geometria algebraica, Cicles algebraics

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Algebraic geometry, Algebraic cycles

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Articles publicats en revistes (Matemàtiques i Informàtica)

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LAHOZ VILALTA, Martí. Generic vanishing index and the birationality of the bicanonical map of irregular varieties. Mathematische Zeitschrift. 2012. Vol. 272, num. 3-4, pags. 1075-1086. ISSN 0025-5874. [consulted: 10 of June of 2026]. Available at: https://hdl.handle.net/2445/145222

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