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arXiv · 1902.01685

Some algebraic and geometric properties of hyper-K\"ahler fourfold symmetries

Samuel Boissière·Marc Nieper-Wißkirchen·Kévin Tari
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Abstract

We complete the classification of order $5$ nonsymplectic automorphisms on hyper-K\"ahler fourfolds deformation equivalent to the Hilbert square of a K3 surface. We then compute the topological Lefschetz number of natural automorphisms of generalized Kummer fourfolds and we describe the geometry of their fix loci.

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Samuel Boissière, Marc Nieper-Wißkirchen, Kévin Tari. 2019-02-05. Some algebraic and geometric properties of hyper-K\"ahler fourfold symmetries. https://arxiv.org/abs/1902.01685

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