Lei Fu

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math.AG2026

The GKZ hypergeometric $D$ -module

Lei Fu

For an $(n \times N)$ -matrix $A$ of rank $n$ with integer entries, Gelfand, Kapranov and Zelevinsky introduce a system of differential equations, called the $A$ -hypergeometric syste…

math.AG2024

Hypergeometric $D$ -modules and exponential sums for reductive groups

Lei Fu, Xuanyou Li

We define the hypergeometric exponential sum associated to a family of representations of a reductive group over a finite field. We introduce the hypergeometric $ℓ$ -adic sheaf t…

The GKZ hypergeometric D-module

Hypergeometric D-modules and exponential sums for reductive groups

The GKZ hypergeometric $D$ -module

Hypergeometric $D$ -modules and exponential sums for reductive groups