Faithful tropicalization of hypertoric varieties
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Date
2017-09-06
Authors
Kutler, Max
Journal Title
Journal ISSN
Volume Title
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