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This article is cited in 10 scientific papers (total in 10 papers)
On the tautness of rationally contractible curves on a surface
G. N. Tyurina
Abstract:
Let a complex curve $A$, that is reducible in general, lie on a nonsingular complex surface $X$, and let a curve $\widetilde A$, that is isomorphic to $A$, lie on a nonsingular surface $\widetilde X$, where the intersection matrices of the components of the curves $A$ and $\widetilde A$ coincide. In this paper we shall study the question of when the isomorphism between the curves $A$ and $\widetilde A$ can be extended to a biholomorphic equivalence of their neighborhoods on the surfaces $X$and $\widetilde X$. We shall prove that this is always possible for curves obtained in the resolution of doubly and triply rational singularities. This implies the tautness (nonvariability) of doubly and triply rational singular points.
Received: 31.01.1968
Citation:
G. N. Tyurina, “On the tautness of rationally contractible curves on a surface”, Math. USSR-Izv., 2:4 (1968), 907–934
Linking options:
https://www.mathnet.ru/eng/im2499https://doi.org/10.1070/IM1968v002n04ABEH000679 https://www.mathnet.ru/eng/im/v32/i4/p943
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Abstract page: | 450 | Russian version PDF: | 128 | English version PDF: | 14 | References: | 44 | First page: | 1 |
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