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Izvestiya: Mathematics, 2014, Volume 78, Issue 1, Pages 22–33
DOI: https://doi.org/10.1070/IM2014v078n01ABEH002678 (Mi im7973) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Lagrangian fibrations on hyperkähler fourfolds

D. Greba, Ch. Lehnb, S. Rollenskec

a Albert Ludwigs University of Freiburg
b Institut Fourier, UFR de Mathématiques
c Bielefeld University, Department of Mathematics
English version PDF (315 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/IM2014v078n01ABEH002678
Abstract: In answer to the strong form of a question posed by Beauville, we give a short geometric proof that any hyperkähler fourfold containing a Lagrangian subtorus $L$ admits a holomorphic Lagrangian fibration with fibre $L$.
Keywords: hyperkähler manifold, Lagrangian fibration.
Received: 02.03.2012
Bibliographic databases:
Document Type: Article
UDC: 514.154
MSC: 53C26, 14D06, 14E30, 32G10, 32G05
Language: English
Original paper language: Russian
Citation: D. Greb, Ch. Lehn, S. Rollenske, “Lagrangian fibrations on hyperkähler fourfolds”, Izv. Math., 78:1 (2014), 22–33
Citation in format AMSBIB
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\by D.~Greb, Ch.~Lehn, S.~Rollenske
\paper Lagrangian fibrations on hyperk\"ahler fourfolds
\jour Izv. Math.
\yr 2014
\vol 78
\issue 1
\pages 22--33
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Linking options:
  • https://www.mathnet.ru/eng/im7973
  • https://doi.org/10.1070/IM2014v078n01ABEH002678
  • https://www.mathnet.ru/eng/im/v78/i1/p25
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:613
    Russian version PDF:160
    English version PDF:19
    References:60
    First page:21
     
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