vix.ing · top · new · best · stats · spec

Tropical theta characteristics

2007/12/19 by Ilia Zharkov, Zharkov, Ilia
Chemistry · Mathematics · Pharmacology, Toxicology and Pharmaceutics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Molecular spectroscopy and chirality #Plant-based Medicinal Research #math.AG #math.CO

paper · pdf · doi:10.48550/arxiv.0712.3205

4 pages, still an addendum to math.AG/0612267v2, exposition improved, description of positive theta added

openalex publication_date 2007/12/19 · arxiv created 2009/02/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note is a follow up of math.AG/0612267v2 and it is largely inspired by a beautiful description of Baker-Norine of non-effective degree (g-1) divisors via chip-firing game. We consider the set of all theta characteristics on a tropical curve and identify the Riemann constant as a unique non-effective one among them.

Related