Seshadri constants via Okounkov functions and the Segre-Harbourne-Gimigliano-Hirschowitz Conjecture
Algebraic Geometry
2013-04-02 v1 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.1304.0249,
title = {Seshadri constants via Okounkov functions and the Segre-Harbourne-Gimigliano-Hirschowitz Conjecture},
author = {Marcin Dumnicki and Alex Küronya and Catriona Maclean and Tomasz Szemberg},
journal= {arXiv preprint arXiv:1304.0249},
year = {2013}
}
Comments
13 pages