On special linear systems on real trigonal curves

Date

2024-8-29

Author

Akyar, Turgay

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In this thesis we examine some of the topological properties 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 special linear systems of dimension at least 1 on a trigonal curve. We obtain lower and upper bounds when the degree d of the linear systems and the Maroni invariant m of the curve satisfy the relations d+m=g and g> d> (g+2)/2, where g is the genus of the curve.

Subject Keywords

Special linear systems, real trigonal curves, real Brill-Noether theory

URI

https://hdl.handle.net/11511/110921

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Graduate School of Natural and Applied Sciences, Thesis