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/
BYU ScholarsArchive Citation
Ellis, Amanda, "Classifcation of Conics in the Tropical Projective Plane" (2005). Theses and Dissertations. 697.
https://scholarsarchive.byu.edu/etd/697
Date Submitted
2005-11-18
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd1104
Keywords
tropical, algebraic geometry, convex hull, conics
Language
English