M. Nagamine

collaborators

3 papers

math.AG2026

Core Coordinates and Negative Support in A-Hypergeometric Systems

Mao Nagamine, Nagamine Mao

For a homogeneous $A$ -hypergeometric system, let $K_{v}$ be the intersection of the negative support family for a fake exponent $v$ , and let $C_{w}$ be the set of indices of variables…

math.AC2026

Hilbert Series and Logarithmic Degrees of $A$ -Hypergeometric Series

Mao Nagamine

Fix a generic weight vector and a fake exponent of a homogeneous $A$ -hypergeometric system. Using all corresponding standard pairs, including embedded ones, we construct an Artinia…

math.AG2024

$A$ -hypergeometric Series with Parameters in the Core

Mao Nagamine

In this paper, we discuss the computational approach to the results established by Okuyama and Saito. Although their results are often difficult to compute, we prove that, when the…

Core Coordinates and Negative Support in A-Hypergeometric Systems

Hilbert Series and Logarithmic Degrees of A-Hypergeometric Series

A-hypergeometric Series with Parameters in the Core

Hilbert Series and Logarithmic Degrees of $A$ -Hypergeometric Series

$A$ -hypergeometric Series with Parameters in the Core