Quivers and moduli of their thin sincere representations in Macaulay2

2021/06/07 by Mary Barker, Barker, Mary, Patricio Gallardo +1 · 1 citation
Mathematics · #05-04 #16G20 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2106.03288

openalex publication_date 2021/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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• Finding the walls for quiver moduli

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• Moduli of representations of quivers
• The QuiverTools package for SageMath and Julia
• Lecture Notes on Quiver Representations and Moduli Problems in Algebraic Geometry
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