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Universal Families of Rational Tropical Curves

Published online by Cambridge University Press:  20 November 2018

Georges Francois  and
Simon Hampe
Georges Francois
Affiliation:
Fachbereich Mathematik, Technische Universität Kaiserslautern, Postfach 3049, 67653 Kaiserslautern, Germany, e-mail: gfrancois@email.lu, e-mail: hampe@mathematik.uni-kl.de
Simon Hampe
Affiliation:
Fachbereich Mathematik, Technische Universität Kaiserslautern, Postfach 3049, 67653 Kaiserslautern, Germany, e-mail: gfrancois@email.lu, e-mail: hampe@mathematik.uni-kl.de
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Abstract

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We introduce the notion of families of $n$-marked, smooth, rational tropical curves over smooth tropical varieties and establish a one-to-one correspondence between (equivalence classes of) these families and morphisms from smooth tropical varieties into the moduli space of $n$-marked, abstract, rational, tropical curves ${{\mathcal{M}}_{n}}$.

Keywords

14T0514D22tropical geometryuniversal familyrational curvesmoduli space
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 65 , Issue 1 , 01 February 2013 , pp. 120 - 148
Copyright
Copyright © Canadian Mathematical Society 2013

References

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