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Topology of Algebraic Varieties and Singularities
 
Edited by: José Ignacio Cogolludo-Agustín Universidad de Zaragoza, Zaragoza, Spain
Eriko Hironaka Florida State University, Tallahassee, FL
Topology of Algebraic Varieties and Singularities
Softcover ISBN:  978-0-8218-4890-6
Product Code:  CONM/538
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8217-7
Product Code:  CONM/538.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4890-6
eBook: ISBN:  978-0-8218-8217-7
Product Code:  CONM/538.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Topology of Algebraic Varieties and Singularities
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Topology of Algebraic Varieties and Singularities
Edited by: José Ignacio Cogolludo-Agustín Universidad de Zaragoza, Zaragoza, Spain
Eriko Hironaka Florida State University, Tallahassee, FL
Softcover ISBN:  978-0-8218-4890-6
Product Code:  CONM/538
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8217-7
Product Code:  CONM/538.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4890-6
eBook ISBN:  978-0-8218-8217-7
Product Code:  CONM/538.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5382011; 467 pp
    MSC: Primary 00; 14; 32; 57; 51; 53; 55;

    This volume contains invited expository and research papers from the conference Topology of Algebraic Varieties, in honor of Anatoly Libgober's 60th birthday, held June 22–26, 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 Sociedád Matematica Española.
    Readership

    Graduate students and research mathematicians interested in algebraic geometry and fundamental groups, braids and knots, hyperplane arrangements, and singularity theory.

  • Table of Contents
     
     
    • Part I: A Historical Note [ MR 2777813 ]
    • Anatoly Libgober — Development of the theory of Alexander invariants in algebraic geometry [ MR 2777814 ]
    • Part II: Algebraic Geometry and Fundamental Groups [ MR 2777813 ]
    • Paolo Aluffi and Matilde Marcolli — Feynman motives and deletion-contraction relations [ MR 2777815 ]
    • Meirav Amram, Rebecca Lehman, Robert Shwartz and Mina Teicher — Classification of fundamental groups of Galois covers of surfaces of small degree degenerating to nice plane arrangements [ MR 2777816 ]
    • Donu Arapura — Homomorphisms between Kähler groups [ MR 2777817 ]
    • Enrique Artal Bartolo, José Ignacio Cogolludo-Agustín and Daniel Matei — Quasi-projectivity, Artin-Tits groups, and pencil maps [ MR 2777818 ]
    • Alex Degtyarev — Topology of plane algebraic curves: the algebraic approach [ MR 2777819 ]
    • Laurentiu Maxim and Jörg Schürmann — Hirzebruch invariants of symmetric products [ MR 2777820 ]
    • Alexander I. Suciu — Fundamental groups, Alexander invariants, and cohomology jumping loci [ MR 2777821 ]
    • Part III: Braids and Knots [ MR 2777813 ]
    • Juan González-Meneses — On reduction curves and Garside properties of braids [ MR 2777822 ]
    • Louis H. Kauffman — Topological quantum information, Khovanov homology and the Jones polynomial [ MR 2777823 ]
    • Luis Paris — HOMFLYPT skein module of singular links [ MR 2777824 ]
    • Part IV: Hyperplane Arrangements [ MR 2777813 ]
    • Nero Budur, Alexandru Dimca and Morihiko Saito — First Milnor cohomology of hyperplane arrangements [ MR 2777825 ]
    • G. Gaiffi, F. Mori and M. Salvetti — Minimal CW-complexes for complements to line arrangements via discrete Morse theory [ MR 2777826 ]
    • Richard Randell — The topology of hyperplane arrangements [ MR 2777827 ]
    • Part V: Singularities [ MR 2777813 ]
    • E. Artal Bartolo, Pi. Cassou-Noguès, I. Luengo and A. Melle Hernández — On $\nu $-quasi-ordinary power series: factorization, Newton trees and resultants [ MR 2777828 ]
    • José Luis Cisneros-Molina, José Seade and Jawad Snoussi — Milnor fibrations for real and complex singularities [ MR 2768672 ]
    • Javier Fernández de Bobadilla — On homotopy types of complements of analytic sets and Milnor fibres [ MR 2777829 ]
    • Dmitry Kerner and András Némethi — The Milnor fibre signature is not semi-continuous [ MR 2777830 ]
    • A. Némethi, Walter D. Neumann and A. Pichon — Principal analytic link theory in homology sphere links [ MR 2777831 ]
    • Mutsuo Oka — On mixed Brieskorn variety [ MR 2777832 ]
    • Patrick Popescu-Pampu — Introduction to Jung’s method of resolution of singularities [ MR 2777833 ]
    • Stephen S.-T. Yau, Linda Zhao and Huaiqing Zuo — Biggest sharp polynomial estimate of integral points in right-angled simplices [ MR 2777834 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5382011; 467 pp
MSC: Primary 00; 14; 32; 57; 51; 53; 55;

This volume contains invited expository and research papers from the conference Topology of Algebraic Varieties, in honor of Anatoly Libgober's 60th birthday, held June 22–26, 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 Sociedád Matematica Española.
Readership

Graduate students and research mathematicians interested in algebraic geometry and fundamental groups, braids and knots, hyperplane arrangements, and singularity theory.

  • Part I: A Historical Note [ MR 2777813 ]
  • Anatoly Libgober — Development of the theory of Alexander invariants in algebraic geometry [ MR 2777814 ]
  • Part II: Algebraic Geometry and Fundamental Groups [ MR 2777813 ]
  • Paolo Aluffi and Matilde Marcolli — Feynman motives and deletion-contraction relations [ MR 2777815 ]
  • Meirav Amram, Rebecca Lehman, Robert Shwartz and Mina Teicher — Classification of fundamental groups of Galois covers of surfaces of small degree degenerating to nice plane arrangements [ MR 2777816 ]
  • Donu Arapura — Homomorphisms between Kähler groups [ MR 2777817 ]
  • Enrique Artal Bartolo, José Ignacio Cogolludo-Agustín and Daniel Matei — Quasi-projectivity, Artin-Tits groups, and pencil maps [ MR 2777818 ]
  • Alex Degtyarev — Topology of plane algebraic curves: the algebraic approach [ MR 2777819 ]
  • Laurentiu Maxim and Jörg Schürmann — Hirzebruch invariants of symmetric products [ MR 2777820 ]
  • Alexander I. Suciu — Fundamental groups, Alexander invariants, and cohomology jumping loci [ MR 2777821 ]
  • Part III: Braids and Knots [ MR 2777813 ]
  • Juan González-Meneses — On reduction curves and Garside properties of braids [ MR 2777822 ]
  • Louis H. Kauffman — Topological quantum information, Khovanov homology and the Jones polynomial [ MR 2777823 ]
  • Luis Paris — HOMFLYPT skein module of singular links [ MR 2777824 ]
  • Part IV: Hyperplane Arrangements [ MR 2777813 ]
  • Nero Budur, Alexandru Dimca and Morihiko Saito — First Milnor cohomology of hyperplane arrangements [ MR 2777825 ]
  • G. Gaiffi, F. Mori and M. Salvetti — Minimal CW-complexes for complements to line arrangements via discrete Morse theory [ MR 2777826 ]
  • Richard Randell — The topology of hyperplane arrangements [ MR 2777827 ]
  • Part V: Singularities [ MR 2777813 ]
  • E. Artal Bartolo, Pi. Cassou-Noguès, I. Luengo and A. Melle Hernández — On $\nu $-quasi-ordinary power series: factorization, Newton trees and resultants [ MR 2777828 ]
  • José Luis Cisneros-Molina, José Seade and Jawad Snoussi — Milnor fibrations for real and complex singularities [ MR 2768672 ]
  • Javier Fernández de Bobadilla — On homotopy types of complements of analytic sets and Milnor fibres [ MR 2777829 ]
  • Dmitry Kerner and András Némethi — The Milnor fibre signature is not semi-continuous [ MR 2777830 ]
  • A. Némethi, Walter D. Neumann and A. Pichon — Principal analytic link theory in homology sphere links [ MR 2777831 ]
  • Mutsuo Oka — On mixed Brieskorn variety [ MR 2777832 ]
  • Patrick Popescu-Pampu — Introduction to Jung’s method of resolution of singularities [ MR 2777833 ]
  • Stephen S.-T. Yau, Linda Zhao and Huaiqing Zuo — Biggest sharp polynomial estimate of integral points in right-angled simplices [ MR 2777834 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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