Open Access
November, 2008 Tropical resultants for curves and stable intersection
Luis Felipe Tabera
Rev. Mat. Iberoamericana 24(3): 941-961 (November, 2008).


We introduce the notion of resultant of two planar curves in the tropical geometry framework. We prove that the tropicalization of the algebraic resultant can be used to compute the stable intersection of two tropical plane curves. It is shown that, for two generic preimages of the curves to an algebraic framework, their intersection projects exactly onto the stable intersection of the curves. It is also given sufficient conditions for such a generality in terms of the residual coefficients of the algebraic coefficients of defining equations of the curves.


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Luis Felipe Tabera . "Tropical resultants for curves and stable intersection." Rev. Mat. Iberoamericana 24 (3) 941 - 961, November, 2008.


Published: November, 2008
First available in Project Euclid: 9 December 2008

zbMATH: 1216.14048
MathSciNet: MR2490204

Primary: 14H50 , 14M25 , 52B20

Keywords: plane curves , resultants , Tropical geometry

Rights: Copyright © 2008 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.24 • No. 3 • November, 2008
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