Abstract
Let X be a smooth projective surface with Picard number 1. Let L be the ample generator of the Néron–Severi group of X. Given an integer \(r\ge 2\), we prove lower bounds for the Seshadri constant of L at r very general points in X.
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Acknowledgments
We sincerely thank Brian Harbourne and Tomasz Szemberg for carefully reading this paper and making many useful suggestions. We also thank the referee for making numerous corrections and suggestions that improved the paper.
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Author was partially supported by a grant from Infosys Foundation.
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Hanumanthu, K. Seshadri constants on surfaces with Picard number 1. manuscripta math. 153, 535–543 (2017). https://doi.org/10.1007/s00229-016-0893-4
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DOI: https://doi.org/10.1007/s00229-016-0893-4