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arXiv · 2409.01481

Relative-Hyper GAGA Theorem

Eita Haibara·Taewan Kim
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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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Eita Haibara, Taewan Kim. 2024-09-02. Relative-Hyper GAGA Theorem. https://arxiv.org/abs/2409.01481

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