Functions on Okounkov bodies coming from geometric valuations (with an appendix by S\'ebastien Boucksom)
Algebraic Geometry
2013-02-07 v2 Complex Variables
Abstract
We study topological properties of functions on Okounkov bodies as introduced by Boucksom-Chen and Witt-Nystr\"om. We note that they are continuous over the whole Okounkov body whenever the body is polyhedral, on the other hand, we exhibit an example that shows that continuity along the boundary does not hold in general.
Keywords
Cite
@article{arxiv.1210.3523,
title = {Functions on Okounkov bodies coming from geometric valuations (with an appendix by S\'ebastien Boucksom)},
author = {Alex Küronya and Catriona Maclean and Tomasz Szemberg},
journal= {arXiv preprint arXiv:1210.3523},
year = {2013}
}
Comments
30 pages, an appendix by S\'ebastien Boucksom has been added