A generic Nakano vanishing theorem
A generic Nakano vanishing theorem

Christian Schnell , Stony Brook University
Fine Hall 322
The genenic vanishing theorem of GreenLazarsfeld 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 Nakanotype vanishing theorem and, in the process, talk about a special class of coherent sheaves on abelian varieties.