Relative-Hyper GAGA Theorem

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Autori principali:	Haibara, Eita, Kim, Taewan
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Algebraic Geometry 14F06
Accesso online:	Acceder al recurso
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_version_	1866912020712914944
author	Haibara, Eita Kim, Taewan
author_facet	Haibara, Eita Kim, Taewan
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2409_01481
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Relative-Hyper GAGA Theorem Haibara, Eita Kim, Taewan Algebraic Geometry 14F06 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.
title	Relative-Hyper GAGA Theorem
topic	Algebraic Geometry 14F06
url	https://arxiv.org/abs/2409.01481

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