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Mathematics of the USSR-Sbornik, 1988, Volume 59, Issue 2, Pages 459–469
DOI: https://doi.org/10.1070/SM1988v059n02ABEH003146 (Mi sm1973) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Integrable symplectic structures on compact complex manifolds

D. G. Markushevich
English version PDF (738 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/SM1988v059n02ABEH003146
Abstract: The following question is studied. Suppose one is given a $2n$-dimensional compact complex manifold with holomorphic symplectic 2-form. Are there obstructions to the existence of $n$ independent meromorphic first integrals in involution, and if so, what are they like? The answer to this question is given for K3 surfaces, Beauville manifolds, and complex tori; in these cases there are obstructions of an analytic character. Whether there are any topological obstructions is an unsolved problem.
Bibliography: 18 titles.
Received: 24.04.1985
Bibliographic databases:
UDC: 512.7
MSC: Primary 32C10, 58F05; Secondary 14J28
Language: English
Original paper language: Russian
Citation: D. G. Markushevich, “Integrable symplectic structures on compact complex manifolds”, Math. USSR-Sb., 59:2 (1988), 459–469
Citation in format AMSBIB
\Bibitem{Mar86}
\by D.~G.~Markushevich
\paper Integrable symplectic structures on compact complex manifolds
\jour Math. USSR-Sb.
\yr 1988
\vol 59
\issue 2
\pages 459--469
\mathnet{http://mi.mathnet.ru//eng/sm1973}
\crossref{https://doi.org/10.1070/SM1988v059n02ABEH003146}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=881908}
\zmath{https://zbmath.org/?q=an:0618.58022}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
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