Relative-Hyper GAGA Theorem

Published 2 Sep 2024 in math.AG | (2409.01481v3)

Abstract: In this paper, we provide a relative hypercohomology version of Serre's GAGA theorem. We prove that the relative hypercohomology of a complex of sheaves on a complex projective variety is isomorphic to the relative hypercohomology of its analytification, with respect to an open or closed subvariety. This result implies Serre's original GAGA theorem.

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