Rank jumps in Codimension 2 A-Hypergeometric Systems

Details Rank jumps in Codimension 2 A-Hypergeometric Systems Rank jumps in Codimension 2 A-Hypergeometric Systems

2000-09-14

arxiv.org/abs/math/0009148v1

Mathematics

Combinatorics

24 pages

Scientific paper

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

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