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On Horn-Kapranov uniformisation of the discriminantal loci

Susumu Tanabé

math.AGarXiv:math/0503262

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.

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