Exceptional parameters for generic A-hypergeometric systems

Details Exceptional parameters for generic A-hypergeometric systems Exceptional parameters for generic A-hypergeometric systems

2001-05-03

arxiv.org/abs/math/0105030v3

Mathematics

Combinatorics

Major revisions

Scientific paper

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 $I_A$.

Affiliated with

Also associated with

No associations

Rating

Exceptional parameters for generic A-hypergeometric systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exceptional parameters for generic A-hypergeometric systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exceptional parameters for generic A-hypergeometric systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-249611