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, M., Malte, W. (2017). Automorphisms of O'Grady's manifolds acting trivially on cohomology. ALGEBRAIC GEOMETRY, 4(1), 104-119 [10.14231/AG-2017-005].
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.File in questo prodotto:
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