A note on the Bogomolov-type smoothness on deformations of the regular parts of isolated singularities

Miyajima, Kimio

doi:10.1090/S0002-9939-97-03712-X

A note on the Bogomolov-type smoothness on deformations of the regular parts of isolated singularities
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Proc. Amer. Math. Soc. 125 (1997), 485-492 Request permission

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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