Polarizable twistor D-modules

Details Polarizable twistor D-modules Polarizable twistor D-modules

2005-03-02

arxiv.org/abs/math/0503038v2

Ast\'erisque vol. 300, Soci\'et\'e math\'ematique de France (2005), vi+208 pp

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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