Hodge cohomology on blow-ups along subvarieties
Algebraic Geometry
2022-03-01 v2
Abstract
We establish a blow-up formula for Hodge cohomology of locally free sheaves on smooth proper varieties over an algebraically closed field of positive characteristic. For this, we introduce a notion of relative Hodge sheaves and study their behavior under blow-ups along smooth centers. In particular, as an application, we study the blow-up invariance of the -degeneracy of the Hochschild--Kostant--Rosenberg spectral sequence for smooth proper varieties.
Keywords
Cite
@article{arxiv.1907.13281,
title = {Hodge cohomology on blow-ups along subvarieties},
author = {Sheng Rao and Song Yang and Xiangdong Yang and Xun Yu},
journal= {arXiv preprint arXiv:1907.13281},
year = {2022}
}
Comments
Final version to appear in Mathematische Nachrichten. All comments are still welcome