On Horn-Kapranov uniformisation of the discriminantal loci

Mathematics – Algebraic Geometry

Scientific paper

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19 pages

Scientific paper

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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