Special divisors on real trigonal curves
ADVANCES IN GEOMETRY, vol.2025, pp.463-473, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 2025
- Publication Date: 2025
- Doi Number: 10.1515/advgeom-2025-0026
- Journal Name: ADVANCES IN GEOMETRY
- Journal Indexes: Scopus, Aerospace Database, Science Citation Index Expanded (SCI-EXPANDED), Academic Search Premier, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Page Numbers: pp.463-473
- Middle East Technical University Affiliated: Yes
Abstract
In this paper we examine the topology of Brill-Noether varieties associated to real trigonal curves. More precisely, we aim to count the connected components of the real locus of the varieties parametrizing linear systems of degree $d$ and dimension at least $r$. We do this count when the relations $m=g-d+r-1\leq d-2r-1$ are satisfied, where $m$ is the Maroni invariant and $g$ is the genus of the curve.