Mathematics – Algebraic Geometry
Scientific paper
2010-07-18
Mathematics
Algebraic Geometry
10 pages, to appear in Mathematische Zeitschrift
Scientific paper
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 X with maximal Albanese dimension and
non-birational bicanonical map, then the Albanese image of X is fibered by
subvarieties of codimension at most 1 of an abelian subvariety of Alb X.
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