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CR-Geometry and Deformations of Isolated Singularities
Ragnar-Olaf BuchweitzJohn James Millson
出版American Mathematical Soc., 1997
主題Mathematics / GeneralMathematics / CalculusMathematics / Geometry / AlgebraicMathematics / Geometry / Differential
ISBN082180541X9780821805411
URLhttp://books.google.com.hk/books?id=83_TCQAAQBAJ&hl=&source=gbs_api
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註釋In this power we show how to compute the parameter space [italic capital]X for the versal deformation of an isolated singularity ([italic capital]V, 0) under the assumptions [italic]dim [italic capital]V [greater than or equal to symbol] 4, depth {0} [italic capital]V [greater than or equal to symbol] 3, from the CR-structure on a link [italic capital]M of the singularity. We do this by showing that the space [italic capital]X is isomorphic to the space (denoted here by [script capital]K[subscript italic capital]M) associated to [italic capital]M by Kuranishi in 1977. In fact we produce isomorphisms of the associated complete local rings by producing quasi-isomorphisms of the controlling differential graded Lie algebras for the corresponding formal deformation theories.