# Exceptional parameters for generic A-hypergeometric systems Academic Article

•
• Overview
•
• Research
•
• Identity
•
•
• View All
•

### 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 $I_A$.

### published proceedings

• International Mathematics Research Notices

### author list (cited authors)

• Matusevich, L.

### complete list of authors

• Matusevich, Laura

• January 2003