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arxiv: 2605.27188 · v1 · pith:AYM7G2A7new · submitted 2026-05-26 · 🧮 math.AG

Vanishing of cohomology in infinitely ramified towers

classification 🧮 math.AG
keywords cohomologyvanishingconstructiblecoverscyclesesnaultformfrobenius
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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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