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.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Ellis, Amanda, "Classifcation of Conics in the Tropical Projective Plane" (2005). Theses and Dissertations. 697.
tropical, algebraic geometry, convex hull, conics