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Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

2005

Algebraic geometry

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Classifcation Of Conics In The Tropical Projective Plane, Amanda Ellis Nov 2005

Classifcation Of Conics In The Tropical Projective Plane, Amanda Ellis

Theses and Dissertations

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.