Singular degenerations of Calabi-Yau manifolds and the Weil-Petersson metric
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- by Paul S. Green PDF
- Proc. Amer. Math. Soc. 111 (1991), 599-605 Request permission
Abstract:
Degenerations of Calabi-Yau manifolds with isolated singularities somewhat more general than nodes are shown to be at finite distance from nonsingular manifolds in the Weil-Petersson metric on the appropriate moduli spaces.References
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P. Candelas, P. S. Green, and T. Hübsch, Connected Calabi-Yau compactifications, Strings 1988, World Scientific (to appear).
- Kunihiko Kodaira, Complex manifolds and deformation of complex structures, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 283, Springer-Verlag, New York, 1986. Translated from the Japanese by Kazuo Akao; With an appendix by Daisuke Fujiwara. MR 815922, DOI 10.1007/978-1-4613-8590-5
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 599-605
- MSC: Primary 32G05; Secondary 14J30, 32J17
- DOI: https://doi.org/10.1090/S0002-9939-1991-1042267-X
- MathSciNet review: 1042267