Isomorphism classes of A-hypergeometric systems

Details Isomorphism classes of A-hypergeometric systems Isomorphism classes of A-hypergeometric systems

1999-12-28

arxiv.org/abs/math/9912213v1

Mathematics

Algebraic Geometry

16 pages, LaTeX

Scientific paper

For a finite set A of integral vectors, Gel'fand, Kapranov and Zelevinskii defined a system of differential equations with a parameter vector as a D-module, which system is called an A-hypergeometric (or a GKZ hypergeometric) system. Classifying the parameters according to the D-isomorphism classes of their corresponding A-hypergeometric systems is one of the most fundamental problems in the theory. In this paper we give a combinatorial answer for the problem under the assumption that the finite set A lies in a hyperplane off the origin, and illustrate it in two particularly simple cases: the normal case and the monomial curve case.

Affiliated with

Also associated with

No associations

Rating

Isomorphism classes of A-hypergeometric systems 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 Isomorphism classes of A-hypergeometric systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Isomorphism classes of A-hypergeometric systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-295636