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arXiv · 2605.27188

Vanishing of cohomology in infinitely ramified towers

Bhargav Bhatt
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Abstract

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.

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Bhargav Bhatt. 2026-05-26. Vanishing of cohomology in infinitely ramified towers. https://arxiv.org/abs/2605.27188

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