Tropical Severi varieties

Severi varieties are projective varieties which parametrize plane algebraic curves with nodal singularities. We study Severi varieties in the view of tropical geometry. This approach provides the following:
\begin{enumerate}
\item Combinatorial descriptions of certain degenerations of Severi varieties;
\item Partial descriptions of tropicalizations of Severi varieties (called tropical Severi varieties);
\item Certain parameter spaces of plane algebraic curves which are almost closed subgroups of algebraic tori;
\item Connection to secondary fans;
\item Understanding of Mikhalkin’s correspondence theorem for nodal curves in terms of tropical intersection theory.
\end{enumerate}