• Title, Summary, Keyword: obstructions to equivariant rationality

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THE BOGOMOLOV-PROKHOROV INVARIANT OF SURFACES AS EQUIVARIANT COHOMOLOGY

  • Shinder, Evgeny
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.5
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    • pp.1725-1741
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    • 2017
  • 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 [4].