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arXiv:1407.3294 [math.AG]AbstractReferencesReviewsResources

Kodaira-Saito vanishing and applications

Mihnea Popa

Published 2014-07-11, updated 2016-03-02Version 2

The first part of the paper contains a detailed proof of M. Saito's generalization of the Kodaira vanishing theorem, following the original argument and with ample background, based on a lecture given at a Clay workshop on mixed Hodge modules. The second part contains some recent applications, and a Kawamata-Viehweg-type statement in the setting of mixed Hodge modules.

Comments: 33 pages; final version, with expository improvements, updates, and substantial additions in the background sections
Categories: math.AG
Subjects: 14F17, 14F10, 14C30
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