Cohomological support loci of varieties of Albanese fiber dimension one

Details Cohomological support loci of varieties of Albanese fiber dimension one Cohomological support loci of varieties of Albanese fiber dimension one

2011-09-12

arxiv.org/abs/1109.2448v2

Mathematics

Algebraic Geometry

18 pages

Scientific paper

Let $X$ be a smooth projective variety of Albanese fiber dimension 1 and of
general type. We prove that the translates through 0 of all components of
$V^0(\omega_X)$ generate $\Pic^0(X)$. We then study the pluricanonical maps of
$X$. We show that $|4K_X|$ induces a birational map.

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