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arXiv · 1304.0249

Seshadri constants via Okounkov functions and the Segre-Harbourne-Gimigliano-Hirschowitz Conjecture

Marcin Dumnicki·Alex Küronya·Catriona Maclean·Tomasz Szemberg
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Abstract

In this note we relate the SHGH Conjecture to the rationality of one-point Seshadri constants on blow ups of the projective plane, and explain how rationality of Seshadri constants can be tested with the help of functions on Newton--Okounkov bodies.

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Marcin Dumnicki, Alex Küronya, Catriona Maclean, Tomasz Szemberg. 2013-03-31. Seshadri constants via Okounkov functions and the Segre-Harbourne-Gimigliano-Hirschowitz Conjecture. https://arxiv.org/abs/1304.0249

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