A note on Seshadri constants of line bundles on hyperelliptic surfaces
Lucja Farnik
TL;DR
This paper investigates Seshadri constants of ample line bundles on hyperelliptic surfaces, providing new lower bounds and exact values in specific cases, using established results from multiple researchers.
Contribution
It offers new lower bounds and exact computations of Seshadri constants on hyperelliptic surfaces, advancing understanding in this area.
Findings
New lower bounds for Seshadri constants
Exact values computed in specific cases
Utilizes results from multiple prior studies
Abstract
We study Seshadri constants of ample line bundles on hyperelliptic surfaces. We obtain new lower bounds and compute the exact values of Seshadri constants in some cases. Our approach uses results of F. Serrano (1990), B. Harboune and J. Roe (2008), F. Bastianelli (2009), A.L. Knutsen, W. Syzdek and T. Szemberg (2009).
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds