Generic Vanishing Theory via Mixed Hodge Modules
نویسندگان
چکیده
We extend most of the results of generic vanishing theory to bundles of holomorphic forms and rank-one local systems, and more generally to certain coherent sheaves of Hodge-theoretic origin associated with irregular varieties. Our main tools are Saito’s mixed Hodge modules, the Fourier–Mukai transform for D-modules on abelian varieties introduced by Laumon and Rothstein, and Simpson’s harmonic theory for flat bundles. In the process, we also discover two natural categories of perverse coherent sheaves. 2010 Mathematics Subject Classification: 14C30, 14F10 (primary); 14K20, 32L20 (secondary)
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تاریخ انتشار 2011