Bull. Korean Math. Soc. 2017; 54(5): 1725-1741
Online first article July 6, 2017 Printed September 30, 2017
https://doi.org/10.4134/BKMS.b160689
Copyright © The Korean Mathematical Society.
Evgeny Shinder
University of Sheffield
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 $H^1(G, H^2(M, \Z))$ and the first cohomology of the divisors fixed by the action, using $G$-equivariant cohomology. This generalizes the main result of Bogomolov and Prokhorov \cite{BP}.
Keywords: obstructions to equivariant rationality, equivariant cohomology
MSC numbers: 14J26, 14L30, 55N91
2015; 52(4): 1077-1095
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