Real Algebraic and Analytic Geometry
Submission: 2005, December 12.
In this paper, we state a correspondence between classical and tropical Cramer's rule. This correspondence will allow us to compare linear geometric constructions in the projective and tropical spaces. In particular, we prove a constructive version of Pappus' theorem, as conjectured by Ritcher-Gebert, Sturmfels and Theobald.
First published in Int. Math. Res. Not. in 2005 (2005), no. 39, 2373-2389. Published by Hindawi Publishing Corporation .
Mathematics Subject Classification (2000): 14A25, 15A03, 16Y60, 15A15, 51A30.
Keywords and Phrases: Tropical Geometry, Geometric constructions, Cramer's Rule.
Full text, 14p.: dvi 69k, ps.gz 161k, pdf 201k.