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arXiv · 1507.03294

On generic vanishing for pluricanonical bundles

Takahiro Shibata
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Abstract

We study cohomology support loci and higher direct images of (log) pluricanonical bundles of smooth projective varieties or log canonical pairs. We prove that the 0-th cohomology support loci of log pluricanonical bundles are finite unions of torsion translates of subtori. We also construct an example of morphism from a smooth projective variety to an abelian variety such that a higher direct image of a pluricanonical bundle to the abelian variety is not a GV-sheaf.

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Takahiro Shibata. 2015-07-12. On generic vanishing for pluricanonical bundles. https://arxiv.org/abs/1507.03294

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