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arXiv · 1604.01991

The Bogomolov-Prokhorov invariant of surfaces as equivariant cohomology

Evgeny Shinder
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Abstract

For a complex smooth projective surface $M$ with an action of a finite cyclic group $G$ we give a uniform proof of the isomorphism between the invariant $H^1(G, H^2(M, {\mathbb Z}))$ and the first cohomology of the divisors fixed by the action, using $G$-equivariant cohomology. This generalizes the main result of Bogomolov and Prokhorov "On stable conjugacy of finite subgroups of the plane Cremona group, I".

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Evgeny Shinder. 2016-04-07. The Bogomolov-Prokhorov invariant of surfaces as equivariant cohomology. https://arxiv.org/abs/1604.01991

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