Advanced Studies in Pure Mathematics 2000; 278 pp; hardcover Volume: 27 ISBN10: 4314101407 ISBN13: 9784314101400 List Price: US$85 Member Price: US$68 Order Code: ASPM/27
 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 postpublication. Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. Readership 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 OrlikSolomon algebras
 J. Damon  On the number of bounding cycles for nonlinear arrangements
 M. Deza and M. Shtogrin  Embedding the graphs of regular tilings and starhoneycombs 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 surfacecurve 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 antiinvariant forms of reflection groups
