Superabundant curves and the Artin fan
classification
🧮 math.AG
keywords
artintoricarisesbalancedcomplexcurvecurvesdense
read the original 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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