Frobenius splittings of toric varieties
Algebraic Geometry
2009-03-17 v3 Combinatorics
Abstract
We discuss a characteristic free version of Frobenius splittings for toric varieties and give a polyhedral criterion for a toric variety to be diagonally split. We apply this criterion to show that section rings of nef line bundles on diagonally split toric varieties are normally presented and Koszul, and that Schubert varieties are not diagonally split in general.
Keywords
Cite
@article{arxiv.0802.4302,
title = {Frobenius splittings of toric varieties},
author = {Sam Payne},
journal= {arXiv preprint arXiv:0802.4302},
year = {2009}
}
Comments
11 pages, 2 figures. v3: improved exposition throughout; removed Section 5 due to gap in proof of Theorem 1.5. To appear in Algebra and Number Theory