C. Berkesch

activity

20082026

most citedThe rank of a hypergeometric system

27 citations · 91 across the 18 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.AG2019★ 1 cited

On the rank of an $A$ -hypergeometric $D$ -module versus the normalized volume of $A$

Christine Berkesch, María-Cruz Fernández-Fernández

The rank of an $A$ -hypergeometric $D$ -module $M_{A} (β)$ , associated with a full rank $(d \times n)$ -matrix $A$ and a vector of parameters $β \in C^{d}$ , is known to be the norma…

math.AG2019★ 1 cited

Characteristic cycles and Gevrey series solutions of $A$ -hypergeometric systems

Christine Berkesch, María-Cruz Fernández-Fernández

We compute the $L$ -characteristic cycle of an $A$ -hypergeometric system and higher Euler-Koszul homology modules of the toric ring. We also prove upper semicontinuity results about…

On the rank of an A-hypergeometric D-module versus the normalized volume of A

Characteristic cycles and Gevrey series solutions of A-hypergeometric systems

On the rank of an $A$ -hypergeometric $D$ -module versus the normalized volume of $A$

Characteristic cycles and Gevrey series solutions of $A$ -hypergeometric systems