Faithful tropicalization of hypertoric varieties

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Date

2017-09-06

Authors

Kutler, Max

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Publisher

University of Oregon

Abstract

The hypertoric variety M_A defined by an arrangement A of affine hyperplanes admits a natural tropicalization, induced by its embedding in a Lawrence toric variety. In this thesis, we explicitly describe the polyhedral structure of this tropicalization and calculate the fibers of the tropicalization map. 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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Keywords

Hypertoric varieties, Matroids, Non-Archimedean Geometry, Tropical geometry

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