Relative-Hyper GAGA Theorem
Algebraic Geometry
2024-09-11 v3
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.
Cite
@article{arxiv.2409.01481,
title = {Relative-Hyper GAGA Theorem},
author = {Eita Haibara and Taewan Kim},
journal= {arXiv preprint arXiv:2409.01481},
year = {2024}
}
Comments
12 pages. We updated proposition 3.1.1, lemma 3.1.4. Comments are welcome !