Nicolas Folinsbee

activity

20172026

collaborators

4 papers

math.CO2026

Duality and a Canonical Sheaf in Periodic Riemann Functions

Nicolas Folinsbee, Joel Friedman

Let $f : Z^{2} \to Z$ be a Riemann function whose weight $W$ is a perfect matching. Then there is a family of sheaves of $k$ -vector spaces $\{{M}_{W,{\bf d}}\}_{…

math.CO2022

Euler Characteristics and Duality in Riemann Functions and the Graph Riemann-Roch Rank

Nicolas Folinsbee, Joel Friedman

By a {\em Riemann function} we mean a function $f : Z^{n} \to Z$ such that $f (d) = f (d_{1}, \dots, d_{n})$ is equals $0$ for $deg (d) = d_{1} + \dots + d_{n}$ s…

math.CO2022

Generalized Riemann Functions, Their Weights, and the Complete Graph

Nicolas Folinsbee, Joel Friedman

By a {\em Riemann function} we mean a function $f : Z^{n} \to Z$ such that $f (d)$ is equals $0$ for $d_{1} + \dots + d_{n}$ sufficiently small, and equals $d_1+\c…

math.CO2017

Sheaves and Duality in the Two-Vertex Graph Riemann-Roch Theorem

Nicolas Folinsbee, Joel Friedman

For each graph on two vertices, and each divisor on the graph in the sense of Baker-Norine, we describe a sheaf of vector spaces on a finite category whose zeroth Betti number is t…