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Kodaira-Saito vanishing and applications

Published 11 Jul 2014 in math.AG | (1407.3294v2)

Abstract: 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.

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