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Izvestiya: Mathematics, 2019, Volume 83, Issue 4, Pages 731–742
DOI: https://doi.org/10.1070/IM8823 (Mi im8823) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the nonsymplectic involutions of the Hilbert square of a K3 surface

S. Boissiièrea, A. Cattaneob, D. G. Markushevichc, A. Sartia

a Université de Poitiers, Laboratoire de Mathématiques et Applications, France
b Institut Camille Jordan, Université Claude Bernard Lyon 1, France
c Université de Lille, Laboratoire Paul Painlevé, France
English version PDF (523 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/IM8823
Abstract: We investigate the interplay between the moduli spaces of ample $\langle 2\rangle$-polarized IHS manifolds of type $\mathrm{K3}^{[2]}$ and of IHS manifolds of type $\mathrm{K3}^{[2]}$ with a non-symplectic involution with invariant lattice of rank one. In particular, we describe geometrically some new involutions of the Hilbert square of a K3 surface whose existence was proven in a previous paper of Boissière, Cattaneo, Nieper-Wisskirchen, and Sarti.
Keywords: irreducible holomorphic symplectic manifolds, non-symplectic automorphisms, ample cone.
Funding agency Grant number
Agence Nationale de la Recherche ANR-10-LABX-0070
ANR-11-LABX-0007-01
ANR-11-IDEX-0007
A. Cattaneo is supported by the LABEX MILYON (ANR-10-LABX-0070) of Université de Lyon, within the programme “Investissements d'Avenir” (ANR-11-IDEX-0007) operated by the French National Research Agency (ANR). D. G. Markushevich was supported in part by the Labex CEMPI (ANR-11-LABX-0007-01).
Received: 08.06.2018
Revised: 22.10.2018
Bibliographic databases:
Document Type: Article
UDC: 512.721+512.774.4+512.76+515.177.4
MSC: Primary 14C05; Secondary 14J50, 14J28
Language: English
Original paper language: Russian
Citation: S. Boissiière, A. Cattaneo, D. G. Markushevich, A. Sarti, “On the nonsymplectic involutions of the Hilbert square of a K3 surface”, Izv. Math., 83:4 (2019), 731–742
Citation in format AMSBIB
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\by S.~Boissii\`ere, A.~Cattaneo, D.~G.~Markushevich, A.~Sarti
\paper On the nonsymplectic involutions of the Hilbert square of a K3 surface
\jour Izv. Math.
\yr 2019
\vol 83
\issue 4
\pages 731--742
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:312
    Russian version PDF:36
    English version PDF:27
    References:40
    First page:10
     
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