Abstract
Starting with the pioneering work of Ein and Lazarsfeld [9] restrictions on values of Seshadri constants on algebraic surfaces have been studied by many authors [2,5,10,12,18,20,22,24]. In the present note we show how approximation involving continued fractions combined with recent results of Küronya and Lozovanu on Okounkov bodies of line bundles on surfaces [13,14] lead to effective statements considerably restricting possible values of Seshadri constants. These results in turn provide strong additional evidence to a conjecture governing the Seshadri constants on algebraic surfaces with Picard number $1$.
Citation
Łucja Farnik. Tomasz Szemberg. Justyna Szpond. Halszka Tutaj-Gasińska. "Restrictions on Seshadri Constants on Surfaces." Taiwanese J. Math. 21 (1) 27 - 41, 2017. https://doi.org/10.11650/tjm.21.2017.7746
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