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arXiv · 1512.00225

Automorphisms of generalised Kummer fourfolds

Giovanni Mongardi·Kévin Tari·Malte Wandel
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Abstract

We classify non symplectic prime order automorphisms and all finite order symplectic automorphism groups of generalised Kummer fourfolds using lattice theory and recent results on ample cones and monodromy groups. We study various geometric realisations of the automorphisms obtained in the classification. In the case of higher dimensional generalised Kummers, we provide full results for finite symplectic automorphisms groups and we sketch the classification for prime order non-symplectic groups.

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Giovanni Mongardi, Kévin Tari, Malte Wandel. 2015-12-07. Automorphisms of generalised Kummer fourfolds. https://arxiv.org/abs/1512.00225

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