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Moscow Mathematical Journal, 2007, Volume 7, Number 2, Pages 257–263
DOI: https://doi.org/10.17323/1609-4514-2007-7-2-257-263 (Mi mmj282) 		 
Deformation finiteness for real hyperkähler manifolds

A. I. Degtyareva, I. V. Itenbergb, V. M. Kharlamovb

a Bilkent University
b University Louis Pasteur
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DOI: https://doi.org/10.17323/1609-4514-2007-7-2-257-263
Abstract: We show that the number of equivariant deformation classes of real structures in a given deformation class of compact hyperkähler manifolds is finite.
Key words and phrases: Hyperkähler manifold, Calabi–Yau families, real structure, equivariant deformation, finiteness results.
Received: June 15, 2006
Bibliographic databases:
MSC: 53C26, 14P25, 14J32, 32Q20
Language: English
Citation: A. I. Degtyarev, I. V. Itenberg, V. M. Kharlamov, “Deformation finiteness for real hyperkähler manifolds”, Mosc. Math. J., 7:2 (2007), 257–263
Citation in format AMSBIB
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\by A.~I.~Degtyarev, I.~V.~Itenberg, V.~M.~Kharlamov
\paper Deformation finiteness for real hyperk\"ahler manifolds
\jour Mosc. Math.~J.
\yr 2007
\vol 7
\issue 2
\pages 257--263
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\crossref{https://doi.org/10.17323/1609-4514-2007-7-2-257-263}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2337882}
\zmath{https://zbmath.org/?q=an:1129.14079}
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