On Horn-Kapranov uniformisation of the discriminantal loci

2005/03/14 by Susumu Tanabé, Tanabé, Susumu
Mathematics · #14M10 #32S40 #33C65 #55R80 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #math.AG #math.CV #msc:14M10 #msc:32S40 #msc:33C65 #msc:55R80

paper · pdf · doi:10.48550/arxiv.math/0503262

19 pages

arxiv created 2005/05/16 · arxiv updated 2009/12/01

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.

Related

• Hypergeometric Discriminants
• Varieties with maximum likelihood degree one
• Inseparable local uniformization
• Rational and iterated maps, degeneracy loci, and the generalized Riemann-Hurwitz formula
• Degeneracy loci in the universal family of Abelian varieties