Relative-Hyper GAGA Theorem
arXiv:2409.01481
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.
12 pages. We updated proposition 3.1.1, lemma 3.1.4. Comments are welcome !