Rank Jumps in Codimension 2A-hypergeometric Systems

Author: Matusevich L.F.  

Publisher: Academic Press

ISSN: 0747-7171

Source: Journal of Symbolic Computation, Vol.32, Iss.6, 2001-12, pp. : 619-641

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Abstract

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