The Bogomolov-Prokhorov invariant of surfaces as equivariant cohomology
Bull. Korean Math. Soc. 2017 Vol. 54, No. 5, 1725-1741 https://doi.org/10.4134/BKMS.b160689 Published online July 6, 2017 Printed September 30, 2017
Evgeny Shinder University of Sheffield
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 $H^1(G, H^2(M, \Z))$ 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
