Connectivity of tropicalizations
Algebraic Geometry
2018-06-18 v1
Abstract
We show that the tropicalization of an irreducible variety over a complete or algebraically closed valued field is connected through codimension 1, giving an affirmative answer in all characteristics to a question posed by Einsiedler, Lind, and Thomas in 2003.
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Cite
@article{arxiv.1204.6589,
title = {Connectivity of tropicalizations},
author = {Dustin Cartwright and Sam Payne},
journal= {arXiv preprint arXiv:1204.6589},
year = {2018}
}
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7 pages