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2017•Algebraic geometryOpen access

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

Giovanni Mongardi, Malte Wandel

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Abstract

We determine the subgroup of automorphisms acting trivially on the second integral cohomology for hyperkähler 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.

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We determine the subgroup of automorphisms acting trivially on the second integral cohomology for hyperkähler 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.

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Available abstract

We determine the subgroup of automorphisms acting trivially on the second integral cohomology for hyperkähler 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.

Key concepts: Automorphism, Cohomology, Mathematics, Pure mathematics

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