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E-raamat: Topology of Algebraic Varieties and Singularities

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  • Formaat: 467 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 11-Jan-2011
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9780821882177
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Topology of Algebraic Varieties and SingularitiesSuurem pilt
  • Formaat: 467 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 11-Jan-2011
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9780821882177
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This volume contains invited expository and research papers from the conference Topology of Algebraic Varieties, in honor of Anatoly Libgobers 60th birthday, held June 2226, 2009, in Jaca, Spain. The volume contains four parts corresponding to the four main focal points of the conference: algebraic geometry and fundamental groups, braids and knots, hyperplane arrangements, and singularities. Together, the papers provide an overview of the current status of a broad range of topological questions in Algebraic Geometry. This book is published in cooperation with Real Sociedad Matemática Española (RSME).
Preface ix
List of Participants
xiii
Part I A Historical Note
1(18)
Development of the Theory of Alexander Invariants in Algebraic Geometry
3(16)
Anatoly Libgober
Part II Algebraic Geometry and Fundamental Groups
19(206)
Feynman Motives and Deletion-Contraction Relations
21(44)
Paolo Aluffi
Matilde Marcolli
Classification of Fundamental Groups of Galois Covers of Surfaces of Small Degree Degenerating to Nice Plane Arrangements
65(30)
Meirav Amram
Rebecca Lehman
Robert Shwartz
Mina Teicher
Homomorphisms between Kahler groups
95(18)
Donu Arapura
Quasi-Projectivity, Artin-Tits Groups, and Pencil Maps
113(24)
Enrique Artal-Bartolo
Jose I. Cogolludo-Agustin
Daniel Matei
Topology of Plane Algebraic Curves: The Algebraic Approach
137(26)
Alex Degtyarev
Hirzebrurh Invariants of Symmetric Products
163(16)
Laurentiu Maxim
Jorg Schurmann
Fundamental Groups, Alexander Invariants, and Cohomology Jumping Loci
179(46)
Alexander I. Suciu
Part III Braids and Knots
225(52)
On Reduction Curves and Garside Properties of Braids
227(18)
Juan Gonzalez-Meneses
Topological Quantum Information, Khovanov Homology and the Jones Polynomial
245(20)
Louis H. Kauffman
Homflypt Skein Module of Singular Links
265(12)
Luis Paris
Part IV Hyperplane Arrangements
277(42)
First Milnor Cohomology of Hyperplane Arrangements
279(14)
Nero Budur
Alexandru Dimca
Morihiko Saito
Minimal CW-complexes for Complements to Line Arrangements via Discrete Morse Theory
293(16)
Giovanni Gaiffi
F. Mori
M. Salvetti
The Topology of Hyperplane Arrangements
309(10)
Richard Randell
Part V Singularities
319
On v-Quasi-Ordinary Power Series: Factorization, Newton Trees and Resultants
321(24)
E. Artal-Bartolo
Pi Cassou-Nogues
I. Luengo
A. Melle-Hernandez
Milnor Fibrations for Real and Complex Singularities
345(18)
Jose Luis
Cisneros-Molina
Jose Seade
Jawad Snoussi
On Homotopy Types of Complements of Analytic Sets and Milnor Fibres
363(6)
Javier Fernandez de Bobadilla
The Milnor Fiber Signature is not Semicontinuous
369(8)
Dmitry Kerner
Andras Nemethi
Principal Analytic Link Theory in Homology Sphere Links
377(12)
A. Nemethi
Walter D. Neumann
A. Pichon
On Mixed Brieskorn Variety
389(12)
Mutsuo Oka
Introduction to Jung's Method of Resolution of Singularities
401(32)
Patrick Popescu-Pampu
Biggest Sharp Polynomial Estimate of Integral Points in Right-Angled Simplices
433
Stephen S.-T. Yau
Linda Zhao
Huaiqing Zuo
Jose Ignacio Cogolludo-Agustin, Universidad de Zaragoza, Spain||Eriko Hironaka, Florida State University, Tallahassee, F
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