Lei Fu

collaborators

3 papers

math.AG2026

Arithmetic hypergeometric $D$ -modules and exponential sums on reductive groups

Lei Fu, Xuanyou Li, Chenhan Liu

For a finite family of representations of a reductive group, we define a Laurent polynomial on the group. The exponential sum associated this Laurent polynomial is called a hyperge…

math.AG2026

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…

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…

Arithmetic hypergeometric D-modules and exponential sums on reductive groups

Hypergeometric D-modules and exponential sums for reductive groups

The GKZ hypergeometric D-module

Arithmetic hypergeometric $D$ -modules and exponential sums on reductive groups

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

The GKZ hypergeometric $D$ -module