The geometry of antisymplectic involutions, I
Algebraic Geometry
2023-09-06 v2
Abstract
We study fixed loci of antisymplectic involutions on projective hyperk\"ahler manifolds of -type. When the involution is induced by an ample class of square 2 in the Beauville-Bogomolov-Fujiki lattice, we show that the number of connected components of the fixed locus is equal to the divisibility of the class, which is either 1 or 2.
Keywords
Cite
@article{arxiv.2102.02161,
title = {The geometry of antisymplectic involutions, I},
author = {Laure Flapan and Emanuele Macrì and Kieran G. O'Grady and Giulia Saccà},
journal= {arXiv preprint arXiv:2102.02161},
year = {2023}
}
Comments
46 pages. v2: Minor corrections, references updated