Classifcation of Conics in the Tropical Projective Plane

Amanda Vera Ellis · ScholarsArchive (Brigham Young University) · 2005

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.

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