Mathematics – Algebraic Geometry
Scientific paper
1999-11-04
Mathematics
Algebraic Geometry
LaTeX, 26 pages
Scientific paper
Multivariate hypergeometric functions associated with toric varieties were introduced by Gel'fand, Kapranov and Zelevinsky. Singularities of such functions are discriminants, that is, divisors projectively dual to torus orbit closures. We show that most of these potential denominators never appear in rational hypergeometric functions. We conjecture that the denominator of any rational hypergeometric function is a product of resultants, that is, a product of special discriminants arising from Cayley configurations. This conjecture is proved for toric hypersurfaces and for toric varieties of dimension at most three. Toric residues are applied to show that every toric resultant appears in the denominator of some rational hypergeometric function.
Cattani Eduardo
Dickenstein Alicia
Sturmfels Bernd
No associations
LandOfFree
Rational Hypergeometric Functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Rational Hypergeometric Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rational Hypergeometric Functions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-378888