Vanishing of cohomology in infinitely ramified towers

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1. Verfasser: Bhatt, Bhargav
Format: Preprint
Veröffentlicht: 2026
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author Bhatt, Bhargav
author_facet Bhatt, Bhargav
contents We give a new proof of vanishing result of Esnault for the cohomology of constructible sheaves in the tower of ``mock'' Frobenius covers of projective space. The key idea is to use (a global form of) the perversity of nearby cycles.
format Preprint
id arxiv_https___arxiv_org_abs_2605_27188
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Vanishing of cohomology in infinitely ramified towers
Bhatt, Bhargav
Algebraic Geometry
14F20
We give a new proof of vanishing result of Esnault for the cohomology of constructible sheaves in the tower of ``mock'' Frobenius covers of projective space. The key idea is to use (a global form of) the perversity of nearby cycles.
title Vanishing of cohomology in infinitely ramified towers
topic Algebraic Geometry
14F20
url https://arxiv.org/abs/2605.27188