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Quivers and moduli of their thin sincere representations in Macaulay2

Mary Barker and Patricio Gallardo

Vol. 15 (2025), 93–103
Abstract

We introduce the Macaulay2 package ThinSincereQuivers for studying acyclic quivers, the moduli of their thin sincere representations, and the reflexive flow polytopes associated to them. We provide some background on the topic and illustrate how the package recovers examples from the literature.

Keywords
toric quiver, moduli, sincere thin representation
Mathematical Subject Classification
Primary: 05-04, 16G20
Secondary: 05E14
Supplementary material

ThinSincereQuivers.m2

Milestones
Received: 16 June 2021
Revised: 19 June 2025
Accepted: 20 August 2025
Published: 18 November 2025
Authors
Mary Barker
Department of Mathematics and Statistics
Washington University
St. Louis, MO
Patricio Gallardo
Department of Mathematics
University of California
Riverside, CA
United States