Moduli spaces of rational tropical stable maps into smooth tropical varieties
Dennis Ochse · Publication Server of Kaiserslautern University of Technology (Kaiserslautern University of Technology) · 2013
This thesis is concerned with tropical moduli spaces, which are an important tool in tropical enumerative geometry. The main result is a construction of tropical moduli spaces of rational tropical covers of smooth tropical curves and of tropical lines in smooth tropical surfaces. The construction of a moduli space of tropical curves in a smooth tropical variety is reduced to the case of smooth fans. Furthermore, we point out relations to intersection theory on suitable moduli spaces on algebraic curves.