The quest for counterexamples in toric geometry
Algebraic Geometry
2013-01-29 v2
Abstract
We discuss an experimental approach to open problems in toric geometry: are smooth projective toric varieties (i) projectively normal and (ii) defined by degree 2 equations? We discuss the creation of lattice polytopes defining smooth toric varieties as well as algorithms checking properties (i) and (ii) and further potential properties, in Particular a weaker version of (ii) asking for scheme-theoretic definition in degree 2.
Cite
@article{arxiv.1110.1840,
title = {The quest for counterexamples in toric geometry},
author = {Winfried Bruns},
journal= {arXiv preprint arXiv:1110.1840},
year = {2013}
}
Comments
Funal version with small corrections and updated references