Exceptional parameters for generic A-hypergeometric systems Academic Article uri icon

abstract

  • The holonomic rank of an A-hypergeometric system $H_A(\beta)$ is conjectured to be independent of the parameter vector $\beta$ if and only if the toric ideal $I_A$ is Cohen Macaulay. We prove this conjecture in the case that $I_A$ is generic by explicitly constructing more than $vol(A)$ many linearly independent hypergeometric functions for parameters $\beta$ coming from embedded primes of certain initial ideals of $I_A$.

author list (cited authors)

  • Matusevich, L. F.

publication date

  • January 1, 2003 11:11 AM