Polarizable twistor D-modules
Algebraic Geometry
2011-01-04 v2 Complex Variables
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.
Cite
@article{arxiv.math/0503038,
title = {Polarizable twistor D-modules},
author = {Claude Sabbah},
journal= {arXiv preprint arXiv:math/0503038},
year = {2011}
}
Comments
vi+226 pages. Previous versions yet appeared on the author's web page Some typos corrected. Proof of Th. 8.4.1 simplified