Term | Value | Language |
---|---|---|
dc.contributor.advisor | Proudfoot, Nicholas | |
dc.contributor.author | Kutler, Max | |
dc.date.accessioned | 2017-09-06T21:55:20Z | |
dc.date.available | 2017-09-06T21:55:20Z | |
dc.date.issued | 2017-09-06 | |
dc.identifier.uri | http://hdl.handle.net/1794/22756 | |
dc.description.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. | en_US |
dc.language.iso | en_US | |
dc.publisher | University of Oregon | |
dc.rights | All Rights Reserved. | |
dc.subject | Hypertoric varieties | en_US |
dc.subject | Matroids | en_US |
dc.subject | Non-Archimedean Geometry | en_US |
dc.subject | Tropical geometry | en_US |
dc.title | Faithful tropicalization of hypertoric varieties | |
dc.type | Electronic Thesis or Dissertation | |
thesis.degree.name | Ph.D. | |
thesis.degree.level | doctoral | |
thesis.degree.discipline | Department of Mathematics | |
thesis.degree.grantor | University of Oregon |