Structures de Hodge mixtes et faisceaux réflexifs semistablesMixed Hodge structures and semistable reflexive sheaves |
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Authors: | Olivier Penacchio |
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Institution: | Université de Nice Sophia-Antipolis, parc Valrose, Laboratoire J.A. Dieudonné, 06108 Nice cedex 2, France |
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Abstract: | Let X be a smooth projective variety over an algebraically closed field of characteristic 0. We prove that the category of μ-semistable reflexive sheaves of slope μ equivariant for the action of some group on X is Abelian. The same claim for and a stronger semistability condition gives us a geometric proof of the fact that the category of mixed Hodge structures is Abelian. To cite this article: O. Penacchio, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 475–480. |
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