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Polarizable twistor D-modules

Claude Sabbah
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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.

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Claude Sabbah. 2005-05-25. Polarizable twistor D-modules. https://arxiv.org/abs/math/0503038

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