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Polynomials and Vanishing Cycles.
~
Tibar, Mihai.
Polynomials and Vanishing Cycles.
紀錄類型:
書目-電子資源 : 單行本
正題名/作者:
Polynomials and Vanishing Cycles./
作者:
Tibar, Mihai.
出版者:
Leiden :Cambridge University Press, : 2007.,
面頁冊數:
267 p.
叢書名:
Cambridge Tracts in Mathematics
標題:
Algebraic cycles.; Polynomials. -
電子資源:
Click here to view book
ISBN:
9780511543166 (electronic bk.)
Polynomials and Vanishing Cycles.
Tibar, Mihai.
Polynomials and Vanishing Cycles.
[electronic resource]. - Leiden :Cambridge University Press,2007. - 267 p. - Cambridge Tracts in Mathematics.
Cover; Half-title; Title; Copyright; Dedication; Contents; 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 nongeneric pencils
A systematic geometro-topological approach to vanishing cycles appearing in non-proper fibrations; contains the latest research findings.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511543166 (electronic bk.)Subjects--Topical Terms:
277466
Algebraic cycles.; Polynomials.
Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA161.P59 T53 2007eb
Dewey Class. No.: 512.9422
Polynomials and Vanishing Cycles.
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[electronic resource].
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Cambridge University Press,
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267 p.
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Cambridge Tracts in Mathematics
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Cover; Half-title; Title; Copyright; Dedication; Contents; 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 nongeneric pencils
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9 Topology of meromorphic functions10 Slicing by pencils of hypersurfaces; 11 Higher Zariski-Lefschetz theorems; Appendix 1 Stratified singularities; A1.1 Stratifications of singular spaces and fibration theorems; A1.2 Stratified Morse theory, characteristic classes and cycles; Appendix 2 Hints to some exercises; Notes; Chapter 1; Chapter 2; Chapter 3; Chapter 4; Chapter 5; Chapter 6; Chapter 7; Chapter 8; Chapter 9; Chapter 10; Chapter 11; References; Bibli
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