On Tropical Compactifications
Algebraic Geometry
2009-02-13 v2
Abstract
We give an affirmative answer to a conjecture proposed by Tevelev in characteristic 0 case: any variety contains a sch\"on very affine open subvariety. Also we show that any fan supported on the tropicalization of a sch\"on very affine variety produces a sch\"on compactification. Using toric schemes over a discrete valuation ring, we extend tropical compatifications to the non-constant coefficient case.
Cite
@article{arxiv.0902.2009,
title = {On Tropical Compactifications},
author = {Mark Luxton and Zhenhua Qu},
journal= {arXiv preprint arXiv:0902.2009},
year = {2009}
}
Comments
19 pages, comments are welcome