The geometry of antisymplectic involutions, I
Laure Flapan, Emanuele Macrì, Kieran G. O’Grady, Giulia Saccà
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.
Topics & Concepts
MathematicsInvolution (esoterism)Locus (genetics)Divisibility rulePure mathematicsGeometryCombinatoricsBiochemistryPolitical sciencePoliticsLawChemistryGeneGeometry and complex manifoldsAlgebraic Geometry and Number TheoryAdvanced Algebra and Geometry