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arXiv · 1504.08199

Superabundant curves and the Artin fan

Dhruv Ranganathan
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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.

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Dhruv Ranganathan. 2015-04-30. Superabundant curves and the Artin fan. https://arxiv.org/abs/1504.08199

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