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arXiv · 1907.13281

Hodge cohomology on blow-ups along subvarieties

Sheng Rao·Song Yang·Xiangdong Yang·Xun Yu
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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 $E_2$-degeneracy of the Hochschild--Kostant--Rosenberg spectral sequence for smooth proper varieties.

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Sheng Rao, Song Yang, Xiangdong Yang, Xun Yu. 2019-07-31. Hodge cohomology on blow-ups along subvarieties. https://arxiv.org/abs/1907.13281

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