Special divisors on real trigonal curves
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Turgay Akyar
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 ≤ d − 2r − 1 are satisfied, where m is the Maroni invariant and g is the genus of the curve.
Acknowledgements
I would like to thank my supervisor Prof. Ali Ulaş Özgür Kişisel for his sincere guidance and supportive feedback throughout my PhD research. This study builds upon the findings presented in my doctoral dissertation [1].
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Communicated by: D. Plaumann
References
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Articles in the same Issue
- Frontmatter
- Eigenforms of hyperelliptic curves with many automorphisms
- The optimal twisted paper cylinder
- Birational rigidity of quartic three-folds with a double point of rank 3
- Special divisors on real trigonal curves
- The Hoffman–Singleton manifold
- Classification of trees that quasi-inscribe rectangles in the hyperbolic plane
- Ramification points of homotopies: Enumeration and general theory
- On partially ample Ulrich bundles
- Rotational cmc surfaces in terms of Jacobi elliptic functions
- Locally classical stable planes
- Flocks in topological circle planes and their representation in generalised quadrangles
Articles in the same Issue
- Frontmatter
- Eigenforms of hyperelliptic curves with many automorphisms
- The optimal twisted paper cylinder
- Birational rigidity of quartic three-folds with a double point of rank 3
- Special divisors on real trigonal curves
- The Hoffman–Singleton manifold
- Classification of trees that quasi-inscribe rectangles in the hyperbolic plane
- Ramification points of homotopies: Enumeration and general theory
- On partially ample Ulrich bundles
- Rotational cmc surfaces in terms of Jacobi elliptic functions
- Locally classical stable planes
- Flocks in topological circle planes and their representation in generalised quadrangles
