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Prime order automorphisms of generalised Kummer fourfolds

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Abstract

We classify prime order automorphisms of generised 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.

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Authors and Affiliations

  1. Department of Mathematics, University of Bologna, Piazza P.ta San Donato 5, Bologna, Italy

    Giovanni Mongardi

  2. Laboratoire de Mathématiques et Applications, Université de Poitiers, Téléport 2, Boulevard Marie et Pierre Curie, BP 30179, 86962, Futuroscope Chasseneuil Cedex, France

    Kévin Tari

  3. RIMS, Kyoto University, Kitashirakawa Oiwake cho, Sakyo-ku, Kyoto, 606-8502, Japan

    Malte Wandel

Authors
  1. Giovanni Mongardi
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  2. Kévin Tari
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  3. Malte Wandel
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Correspondence to Giovanni Mongardi.

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Mongardi, G., Tari, K. & Wandel, M. Prime order automorphisms of generalised Kummer fourfolds. manuscripta math. 155, 449–469 (2018). https://doi.org/10.1007/s00229-017-0942-7

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  • DOI: https://doi.org/10.1007/s00229-017-0942-7

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