The Fano variety of lines of a cuspidal cyclic cubic fourfold

2022/09/22 by Boissiere, Samuel, Heckel, Tobias, Sarti, Alessandra
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/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.

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