Open Access
VOL. 46 | 2007 On Horn-Kapranov uniformisation of the discriminantal loci
Susumu Tanabé

Editor(s) Jean-Paul Brasselet, Tatsuo Suwa

Adv. Stud. Pure Math., 2007: 223-249 (2007) DOI: 10.2969/aspm/04610223

Abstract

In this note we give a rational uniformisation equation of the discriminant loci associated to a non-degenerate affine complete intersection variety. To show this formula we establish a relation of the fibre-integral with the hypergeometric function of Horn and that of Gel'fand-Kapranov-Zelevinski.

Information

Published: 1 January 2007
First available in Project Euclid: 16 December 2018

zbMATH: 1222.14105
MathSciNet: MR2342893

Digital Object Identifier: 10.2969/aspm/04610223

Subjects:
Primary: 14M10 , 32S40 , 33C65 , 55R80

Keywords: complete intersection , discriminantal set , Horn hypergeometric function

Rights: Copyright © 2007 Mathematical Society of Japan

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