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arXiv · 2412.04115

Special Divisors on Real Trigonal Curves

Turgay Akyar
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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.

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Turgay Akyar. 2024-12-05. Special Divisors on Real Trigonal Curves. https://doi.org/10.1515/advgeom-2025-0026

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