Polarizable twistor D-modules

Abstract

We prove a Decomposition Theorem for the direct image of an irreducible local system on a smooth complex projective variety under a morphism with values in another smooth complex projective variety. For this purpose, we construct a category of polarized twistor D-modules and show a Decomposition Theorem in this category.

vi+226 pages. Previous versions yet appeared on the author's web page Some typos corrected. Proof of Th. 8.4.1 simplified

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