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arXiv · 1204.6589

Connectivity of tropicalizations

Dustin Cartwright·Sam Payne
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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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Dustin Cartwright, Sam Payne. 2012-04-30. Connectivity of tropicalizations. https://doi.org/10.4310/mrl.2012.v19.n5.a10

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