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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1969 Volume 33, Issue 5, Pages 1026–1058 (Mi im2190)

This article is cited in 48 papers

Locally semiuniversal flat deformations of isolated singularities of complex spaces

G. N. Tyurina


Abstract: In this study we construct the minimal locally semiuniversal deformation of a normal isolated singularity $x_0\in X_0$ for which $\operatorname{Ext}^2_{0(x_0)}(\Omega(X_0), 0(X_0))_{x_0}=0$, where $\Omega(X_0)$ is the sheaf of germs of one-dimensional holomorphic forms in the complex space $(X_0,0(X_0))$.

UDC: 519.4

MSC: 32S30, 32A19, 32B10, 32G05

Received: 26.11.1968


 English version:
Mathematics of the USSR-Izvestiya, 1969, 3:5, 967–999

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© Steklov Math. Inst. of RAS, 2026