Abstract
We study the Seshadri constants of ample line bundles on hyperelliptic surfaces. We obtain new lower bounds and compute the exact values of the Seshadri constants in some cases. Our approach uses results of Serrano (Math. Z. 203:527–533, 1990), Harbourne and Roé (J. Pure Appl. Alg. 212:616–627, 2008), Bastianelli (Manuscripta Math. 130:113–120, 2009), Knutsen, Syzdek and Szemberg (Math. Res. Lett. 16:711–719, 2009).
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Farnik, Ł. A note on Seshadri constants of line bundles on hyperelliptic surfaces. Arch. Math. 107, 227–237 (2016). https://doi.org/10.1007/s00013-016-0938-7
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DOI: https://doi.org/10.1007/s00013-016-0938-7