We study fixed loci of antisymplectic involutions on projective hyperkahler manifolds of K3([n])-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.
The geometry of antisymplectic involutions, I / Flapan, L.; Macri, E.; O'Grady, K. G.; Sacca, G.. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 300:4(2022), pp. 3457-3495. [10.1007/s00209-021-02909-1]
The geometry of antisymplectic involutions, I
O'Grady K. G.;
2022
Abstract
We study fixed loci of antisymplectic involutions on projective hyperkahler manifolds of K3([n])-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.File allegati a questo prodotto
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