No cohomologically trivial non-trivial automorphism of generalized Kummer manifolds

Keiji Oguiso

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arXiv · 1208.3750

No cohomologically trivial non-trivial automorphism of generalized Kummer manifolds

Keiji Oguiso

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Abstract

We prove that the natural representaion, on the total Betti cohomolgy group, of the automorphism group of a hyperk\"ahler manifold deformation equivalent to a generalized Kummer manifold is faithful. This is a sort of generalization of an earlier work of Beauville and a recent work of Boiss\'ere, Nieper-Wisskirchan and Sarti, concerning the representation on the second cohomology group.

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Keiji Oguiso. 2012-08-18. No cohomologically trivial non-trivial automorphism of generalized Kummer manifolds. https://arxiv.org/abs/1208.3750

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