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关键词：
Polynomials and Vanishing Cycles
书目信息
ISBN：
9780521829205（13位）
中图分类号：
O1
杜威分类号：
中文译名：
多项式和消没圈
作者：
Mihai Tibăr
编者：
语种：
English
出版信息
出版社：
Cambridge University Press
出版地：
出版年：
2007
版本：
版本类型：
原版
丛书题名：
卷期：
文献信息
关键词：
mathematics, theoretical physics, differential geometry, algebraic geometry, singularity theory, topology
前言：
摘要：
内容简介：
The behaviour of vanishing cycles is the cornerstone for understanding the geometry and topology of families of hypersurfaces, usually regarded as singular fibrations. This self-contained tract proposes a systematic geometro-topological approach to vanishing cycles, especially those appearing in non-proper fibrations, such as the fibration defined by a polynomial function. Topics which have been the object of active research over the past 15 years, such as holomorphic germs, polynomial functions, and Lefschetz pencils on quasi-projective spaces, are here shown in a new light: conceived as aspects of a single theory with vanishing cycles at its core. Throughout the book the author presents the current state of the art. Transparent proofs are provided so that non-specialists can use this book as an introduction, but all researchers and graduate students working in differential and algebraic topology, algebraic geometry, and singularity theory will find this book of great use.
目次：
Preface; Part I. Singularities at Infinity of Polynomial Functions: 1. Regularity conditions at infinity; 2. Detecting atypical values via singularities at infinity; 3. Local and global fibrations; 4. Families of complex polynomials; 5. Topology of a family and contact structures; Part II. The Impact of Global Polar Varieties: 6. Polar invariants and topology of affine varieties; 7. Relative polar curves and families of affine hypersurfaces; 8. Monodromy of polynomials; Part III. Vanishing Cycles of Non-Generic Pencils: 9. Topology of meromorphic functions; 10. Slicing by pencils of hypersurfaces; 11. Higher Zariski-Lefschetz theorems; Notes; References; Bibliography; Appendix 1. Stratified singularities; Appendix 2. Hints to exercises; Index.
附录：
全文链接：
读者对象：
academic researchers, graduate students
实体信息
页码：
265
装帧：
Hardback
尺寸：
其它形态细节：
其它信息
原价：
USD
85.0000
原版ISBN：
其它ISBN：
图书特色：
书评：
扩展信息
Isbn：
0521829208
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