Les espaces d’orbites tropicaux et les espaces de modules de courbes tropicales
Matthias Herold, ITENBERG, Ilia, GATHMANN, Andreas · OpenGrey (Institut de l'Information Scientifique et Technique) · 2011
A main result of this thesis is a conceptual proof of the fact that the weighted number of tropical curves of given degree and genus, which pass through the right number of general points in the plane (resp., which pass through general points in $\RR^r$ and represent a given point in the moduli space of genus g curves) is independent of the choices of points. Another main result is a new correspondence theorem between plane tropical cycles and plane elliptic algebraic curves.