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A note on the Bogomolov-type smoothness on deformations of the regular parts of isolated singularities
Author(s):
Kimio
Miyajima
Journal:
Proc. Amer. Math. Soc.
125
(1997),
485-492.
MSC (1991):
Primary 32G05;
Secondary 14B07, 13D10
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Abstract:
We apply the Tian-Todorov method, proving the Bogomolov
smoothness theorem (for deformations of compact Kähler manifolds) to deformations of the regular part of a Stein space with a finite number of isolated singular points. By the argument based on the Hodge structure on a strongly pseudo-convex Kähler domain or on a punctured Kähler space, we obtain an unobstructed subspace of the infinitesimal deformation space.
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Additional Information:
Kimio
Miyajima
Affiliation:
Mathematical Institute, College of Liberal Arts Kagoshima University, Kagoshima-shi 890, Japan
Email:
miyajima@cla.kagoshima-u.ac.jp
DOI:
10.1090/S0002-9939-97-03712-X
PII:
S 0002-9939(97)03712-X
Keywords:
Deformation,
isolated singularity,
Hodge structure
Received by editor(s):
August 14, 1995
Additional Notes:
Partially supported by The Sumitomo Foundation.
Communicated by:
Peter Li
Copyright of article:
Copyright
1997,
American Mathematical Society
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