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arXiv · 2107.03139

Tropicalization of toric prevarieties

Alex Küronya·Pedro Souza·Martin Ulirsch
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Abstract

The homogeneous spectrum of a multigraded finitely generated algebra (in the sense of Brenner-Schr\"oer) always admits an embedding into a toric variety that is not necessarily separated, a so-called toric prevariety. In order to have a convenient framework to study the tropicalization of homogeneous spectra we propose a tropicalization procedure for toric prevarieties and study its basic properties. With these tools at hand, we prove a generalization of Payne's and Foster--Gross--Payne's tropical limit theorem for divisorial schemes.

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Alex Küronya, Pedro Souza, Martin Ulirsch. 2021-07-07. Tropicalization of toric prevarieties. https://arxiv.org/abs/2107.03139

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