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arXiv · 2209.11022

The Fano variety of lines of a cuspidal cyclic cubic fourfold

Samuel Boissiere·Tobias Heckel·Alessandra Sarti
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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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Samuel Boissiere, Tobias Heckel, Alessandra Sarti. 2022-09-22. The Fano variety of lines of a cuspidal cyclic cubic fourfold. https://arxiv.org/abs/2209.11022

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