We determine the subgroup of automorphisms acting trivially on the second integral cohomology for hyperkahler manifolds which are deformation equivalent to O'Grady's sporadic examples. In particular, we prove that this subgroup is trivial in the tendimensional case and isomorphic to (Z/2Z)^8 in the six-dimensional case.

Automorphisms of O'Grady's manifolds acting trivially on cohomology

MONGARDI, GIOVANNI;
2017

Abstract

We determine the subgroup of automorphisms acting trivially on the second integral cohomology for hyperkahler manifolds which are deformation equivalent to O'Grady's sporadic examples. In particular, we prove that this subgroup is trivial in the tendimensional case and isomorphic to (Z/2Z)^8 in the six-dimensional case.
Giovanni, Mongardi; Malte, Wandel
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/582048
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