Affordable Access

Publisher Website

Hypergeometric integrals and arrangements

Authors
Journal
Journal of Computational and Applied Mathematics
0377-0427
Publisher
Elsevier
Publication Date
Volume
105
Identifiers
DOI: 10.1016/s0377-0427(99)00036-9
Keywords
  • Multivariable Hypergeometric Integral
  • Arrangement Of Hyperplanes
  • Local System Homology And Cohomology
  • Hypergeometric Pairing
  • Determinant Of Period Matrix
Disciplines
  • Mathematics

Abstract

Abstract This is an outline of the Aomoto–Gelfand theory of multivariable hypergeometric integrals and Varchenko's formula for the determinant of the period matrix of the hypergeometric pairing. A significant feature of this work is the use of the theory of arrangements of hyperplanes to transform a problem in analysis into one in combinatorics.

There are no comments yet on this publication. Be the first to share your thoughts.