Hurwitz Trees and Tropical Geometry
| dc.contributor.advisor | McKinnon, David | |
| dc.contributor.advisor | Godsil, Chris | |
| dc.contributor.author | Akeyr, Garnet Jonathan | |
| dc.date.accessioned | 2016-01-21T18:31:58Z | |
| dc.date.available | 2016-01-21T18:31:58Z | |
| dc.date.issued | 2016-01-21 | |
| dc.date.submitted | 2016-01-19 | |
| dc.description.abstract | The lifting problem in algebraic geometry asks when a finite group G acting on a curve defined over characteristic p > 0 lifts to characteristic 0. One object used in the study of this problem is the Hurwitz tree, which encodes the ramification data of a group action on a disk. In this thesis we explore the connection between Hurwitz trees and tropical geometry. That is, we can view the Hurwitz tree as a tropical curve. After exploring this connection we provide two examples to illustrate the connection, using objects in tropical geometry to demonstrate when a group action fails to lift. | en |
| dc.identifier.uri | http://hdl.handle.net/10012/10186 | |
| dc.language.iso | en | en |
| dc.pending | false | |
| dc.publisher | University of Waterloo | en |
| dc.subject | geometry | en |
| dc.subject | arithmetic | en |
| dc.subject | curves | en |
| dc.subject | combinatorics | en |
| dc.title | Hurwitz Trees and Tropical Geometry | en |
| dc.type | Master Thesis | en |
| uws-etd.degree | Master of Mathematics | en |
| uws-etd.degree.department | Combinatorics and Optimization | en |
| uws-etd.degree.discipline | Combinatorics and Optimization | en |
| uws-etd.degree.grantor | University of Waterloo | en |
| uws.contributor.advisor | McKinnon, David | |
| uws.contributor.advisor | Godsil, Chris | |
| uws.contributor.affiliation1 | Faculty of Mathematics | en |
| uws.peerReviewStatus | Unreviewed | en |
| uws.published.city | Waterloo | en |
| uws.published.country | Canada | en |
| uws.published.province | Ontario | en |
| uws.scholarLevel | Graduate | en |
| uws.typeOfResource | Text | en |