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Topology of Algebraic Varieties and Singularities

About this Title

José Ignacio Cogolludo-Agustín and Eriko Hironaka, Editors

Publication: Contemporary Mathematics
Publication Year: 2011; Volume 538
ISBNs: 978-0-8218-4890-6 (print); 978-0-8218-8217-7 (online)
DOI: https://doi.org/10.1090/conm/538
MathSciNet review: 2777813

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Table of Contents

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Front/Back Matter

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Part I: A Historical Note

• Anatoly Libgober – Development of the theory of Alexander invariants in algebraic geometry [MR 2777814]

Part II: Algebraic Geometry and Fundamental Groups

• 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

• 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

• 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

• 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]