On non-projective complete toric varieties
Algebraic Geometry
2025-07-15 v2
Abstract
For every complete toric variety, there exists a projective toric variety which is isomorphic to it in codimension one. In this paper, we show that every smooth non-projective complete toric threefold of Picard number at most five becomes projective after a finite succession of flops or anti-flips.
Cite
@article{arxiv.2412.02392,
title = {On non-projective complete toric varieties},
author = {Osamu Fujino and Hiroshi Sato},
journal= {arXiv preprint arXiv:2412.02392},
year = {2025}
}
Comments
24 pages, v2: revisions following referee's comments and suggestions, to appear in Exp. Math