Graph curve matroids

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 2026 Open access

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Authors: Alheydis Geiger, Kevin A. Kuehn, Raluca Maria Vlad
DOI: 10.1007/s13366-026-00854-w
Cited by: 0
References: 30

Abstract

Abstract We introduce a new class of matroids, called graph curve matroids . A graph curve matroid is associated to a graph and defined on the vertices of the graph as a ground set. We prove that these matroids provide a combinatorial description of hyperplane sections of degenerate canonical curves in algebraic geometry. Our focus lies on graphs that are 2-edge-connected and trivalent. These define identically self-dual graph curve matroids, but we also develop generalizations. Finally, we provide an implementation in and data of examples.

Fields of Study & Subjects

Advanced Numerical Analysis Techniques Commutative Algebra and Its Applications Topological and Geometric Data Analysis

Publication details

Journal / source
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Publisher
Springer Science and Business Media LLC
Publication date
19 May 2026
Language
EN