Superabundant curves and the Artin fan
Algebraic Geometry
2017-06-20 v2
Abstract
We prove that every balanced 1-dimensional polyhedral complex arises as the tropicalization of a smooth curve over a non-Archimedean field mapping to a toric Artin fan, namely the quotient of a toric variety by its dense torus.
Keywords
Cite
@article{arxiv.1504.08199,
title = {Superabundant curves and the Artin fan},
author = {Dhruv Ranganathan},
journal= {arXiv preprint arXiv:1504.08199},
year = {2017}
}
Comments
9 pages, 1 figure. v2: Restructured proof of Main Theorem. Other minor changes. To appear in Int. Math. Res. Not