Deformations of Singularities / by Jan Stevens
(Lecture Notes in Mathematics ; 1811)
データ種別 | 電子ブック |
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出版情報 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer , 2003 |
本文言語 | 英語 |
大きさ | X, 166 p : online resource |
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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 |
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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 |
ISBN | 9783540364641 |
URL | http://dx.doi.org/10.1007/b10723 |
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