Abstract

This paper defines tropical projective space, TP^n, and the tropical general linear group TPGL(n). After discussing some simple examples of tropical polynomials and their hypersurfaces, a strategy is given for finding all conics in the tropical projective plane. The classification of conics and an analysis of the coefficient space corresponding to such conics is given.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2005-11-18

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd1104

Keywords

tropical, algebraic geometry, convex hull, conics

Included in

Mathematics Commons

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