Mathematische Zeitschrift

, Volume 272, Issue 3–4, pp 1075–1086 | Cite as

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

Article

Abstract

We prove that any smooth complex projective variety with generic vanishing index bigger or equal than 2 has birational bicanonical map. Therefore, if X is a smooth complex projective variety φ 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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© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Departament d’Àlgebra i Geometria, Facultat de MatemàtiquesUniversitat de BarcelonaBarcelonaSpain
  2. 2.Mathematisches InstitutUniversität BonnBonnGermany

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