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arXiv · 1604.08271

Faithful tropicalization of hypertoric varieties

Max B. Kutler
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Abstract

The hypertoric variety $\mathfrak{M}_{\mathcal{A}}$ defined by an affine arrangement $\mathcal{A}$ admits a natural tropicalization, induced by its embedding in a Lawrence toric variety. We explicitly describe the polyhedral structure of this tropicalization. Using a recent result of Gubler, Rabinoff, and Werner, we prove that there is a continuous section of the tropicalization map.

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Max B. Kutler. 2016-04-27. Faithful tropicalization of hypertoric varieties. https://arxiv.org/abs/1604.08271

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