A generic Nakano vanishing theorem

A generic Nakano vanishing theorem

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Christian Schnell , Stony Brook University
Fine Hall 322

The genenic vanishing theorem of Green-Lazarsfeld says, roughly speaking, that the cohomology of a generic topologically trivial line bundle on a compact Kaehler manifold vanishes below a certain degree that depends only on the Albanese mapping. I will explain how to generalize this to a Nakano-type vanishing theorem and, in the process, talk about a special class of coherent sheaves on abelian varieties.