The Fano variety of lines of a cuspidal cyclic cubic fourfold
arXiv:2209.11022
Abstract
We prove that the Fano variety of lines of a cuspidal cyclic cubic fourfold is a symplectic variety with transversal A2-singularities and we study the properties of the nonsymplectic order three automorphism induced by the covering automorphism on the irreducible holomorphic symplectic manifold obtained by blowing up the singular locus.
Tobias Heckel added as an author: the results of the paper are partially contained in his PhD thesis