Nonsymplectic automorphisms of prime order on O'Grady's sixfolds

Abstract

We classify nonsymplectic automorphisms of prime order on irreducible holomorphic symplectic manifolds of O'Grady's 6-dimensional defamation type. More precisely, we give a classification of the invariant and coinvariant sublattices of the second integral cohomology group.

arXiv commentMinor modifications. Final version, to appear on Rev. Math. Iberoam