Twice-Marked Banana Graphs & Brill-Noether Generality

Autor:	Pflueger, Nathan, Solomon, Noah
Rok vydání:	2022
Předmět:	Mathematics - Combinatorics Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We analyze a family of graphs known as banana graphs, with two marked vertices, through the lens of Hurwitz-Brill-Noether theory. As an application, we construct explicit new examples of finite graphs which are Brill-Noether general. These are the first such examples since the analysis of chains of loops by Cools, Draisma, Payne and Robeva. The graphs constructed are chains of loops and "theta graphs," which are banana graphs of genus 2. We also demonstrate that almost all banana graphs of genus at least 3 cannot be used for this purpose, due either to failure of a submodularity condition or to the presence of far too many inversions in certain permutations associated to divisors called transmission permutations. Comment: 34 pages. Preliminary version, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.17258 Zobrazit plný text záznamu View this record from Arxiv