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Deformations of Singularities / by Jan Stevens
(Lecture Notes in Mathematics ; 1811)

データ種別 電子ブック
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 2003
本文言語 英語
大きさ X, 166 p : online resource

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EB0038216

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内容注記 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
一般注記 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
著者標目 *Stevens, Jan author
SpringerLink (Online service)
件 名 LCSH:Mathematics
LCSH:Algebraic geometry
LCSH:Functions of complex variables
LCSH:Differential geometry
FREE:Mathematics
FREE:Differential Geometry
FREE:Several Complex Variables and Analytic Spaces
FREE:Algebraic Geometry
分 類 DC23:516.36
巻冊次 ISBN:9783540364641 REFWLINK
ISBN 9783540364641
URL http://dx.doi.org/10.1007/b10723
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