Special Divisors on Real Trigonal Curves
Turgay Akyar

TL;DR
This paper investigates the topology of Brill-Noether varieties on real trigonal curves, focusing on counting the connected components of their real loci under specific numerical conditions.
Contribution
It provides a new count of connected components of real Brill-Noether varieties for trigonal curves satisfying certain relations between invariants.
Findings
Count of connected components under given conditions
Topological characterization of real loci
Extension of classical Brill-Noether theory to real trigonal curves
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 and dimension at least . We do this count when the relations are satisfied, where is the Maroni invariant and is the genus of the curve.
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Taxonomy
Topicsadvanced mathematical theories · Polynomial and algebraic computation · Advanced Numerical Analysis Techniques
