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Rank jumps in Codimension 2 A-Hypergeometric Systems

Laura Felicia Matusevich

math.COarXiv:math/0009148

Abstract

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

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