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arxiv: math/0503038 · v2 · pith:LCYB2QE7new · submitted 2005-03-02 · 🧮 math.AG · math.CV

Polarizable twistor D-modules

classification 🧮 math.AG math.CV
keywords categorycomplexd-modulesdecompositionprojectivesmooththeoremtwistor
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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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