paper

Rank jumps in Codimension 2 A-Hypergeometric Systems

arXiv:math/0009148

Abstract

The holonomic rank of the A-hypergeometric system H_A(β) is shown to depend on the parameter vector βwhen the underlying toric ideal I_A is a non Cohen Macaulay codimension 2 toric ideal. The set of exceptional parameters is usually infinite.

24 pages

Rank jumps in Codimension 2 A-Hypergeometric Systems · wovepaper