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Arrangements-Tokyo 1998
Edited by: Michael Falk, Northern Arizona University, Flagstaff, AZ, and Hiroaki Terao, Tokyo Metropolitan University, Japan
A publication of the Mathematical Society of Japan.
Advanced Studies in Pure Mathematics
2000; 278 pp; hardcover
Volume: 27
ISBN-10: 4-314-10140-7
ISBN-13: 978-4-314-10140-0
List Price: US$85
Member Price: US$68
Order Code: ASPM/27
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This volume comprises some of the written lectures from the proceedings of the conference on hyperplane arrangements held at the Tokyo Metropolitan University as a Regional Workshop of the Mathematical Society of Japan. This workshop was in celebration of the sixtieth birthday of Peter Orlik. The book contains contributions from an impressive group of mathematicians across a wide range of topics in singularity theory, topology, combinatorics, and geometry.

Volumes in this series are freely available electronically 5 years post-publication.

Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS.


Graduate students and research mathematicians interested in several complex variables and analytic spaces.

Table of Contents

  • C. A. Athanasiadis -- Deformations of Coxeter hyperplane arrangements and their characteristic polynomials
  • D. C. Cohen -- On the cohomology of discriminantal arrangements and Orlik-Solomon algebras
  • J. Damon -- On the number of bounding cycles for nonlinear arrangements
  • M. Deza and M. Shtogrin -- Embedding the graphs of regular tilings and star-honeycombs into the graphs of hypercubes and cubic lattices
  • M. Falk and R. Randell -- On the homotopy theory of arrangements, II
  • E. Hironaka -- Plumbing graphs for normal surface-curve pairs
  • K. Iwasaki -- Polytopes, invariants and harmonic functions
  • T. Kohno -- Vassiliev invariants of braids and iterated integrals
  • A. Libgober and S. Yuzvinsky -- Cohomology of local systems
  • D. Matei and A. I. Suciu -- Cohomology rings and nilpotent quotients of real and complex arrangements
  • K. Matsumoto and M. Yoshida -- Recent progress of intersection theory for twisted (co)homology groups
  • E. Mukhin and A. Varchenko -- Remarks on critical points of phase functions and norms of Bethe vectors
  • P. Orlik and R. Silvotti -- Local system homology of arrangement complements
  • L. Paris -- On the fundamental group of the complement of a complex hyperplane arrangement
  • A. Shepler and H. Terao -- Logarithmic forms and anti-invariant forms of reflection groups
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