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＜電子ブック＞
Deformations of Singularities / by Jan Stevens
(Lecture Notes in Mathematics. ISSN:16179692 ; 1811)

版	1st ed. 2003.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2003
大きさ	X, 166 p : online resource
著者標目	*Stevens, Jan author SpringerLink (Online service)
件　名	LCSH:Geometry, Differential LCSH:Functions of complex variables LCSH:Algebraic geometry FREE:Differential Geometry FREE:Several Complex Variables and Analytic Spaces FREE:Algebraic Geometry
一般注記	Introduction -- Deformations of singularities -- Standard bases -- Infinitesimal deformations -- Example: the fat point of multiplicity four -- Deformations of algebras -- Formal deformation theory -- Deformations of compact manifolds -- How to solve the deformation equation -- Convergence for isolated singularities -- Quotient singularities -- The projection method -- Formats -- Smoothing components of curves -- Kollár's conjectures -- Cones over curves -- The versal deformation of hyperelliptic cones -- References -- Index These notes deal with deformation theory of complex analytic singularities and related objects. The first part treats general theory. The central notion is that of versal deformation in several variants. The theory is developed both in an abstract way and in a concrete way suitable for computations. The second part deals with more specific problems, specially on curves and surfaces. Smoothings of singularities are the main concern. Examples are spread throughout the text HTTP:URL=https://doi.org/10.1007/b10723

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