Seshadri constants on abelian and bielliptic surfaces—potential values and lower bounds

Bauer, Thomas; Farnik, Łucja

doi:10.1090/proc/15893

Seshadri constants on abelian and bielliptic surfaces—potential values and lower bounds
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by Thomas Bauer and Łucja Farnik PDF

Proc. Amer. Math. Soc. 150 (2022), 5025-5034 Request permission

Abstract:

In this note we contribute to the study of Seshadri constants on abelian and bielliptic surfaces. We specifically focus on bounds that hold on all such surfaces, depending only on the self-intersection of the ample line bundle under consideration. Our result improves previous bounds and it provides rational numbers as bounds, which are potential Seshadri constants.

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