Séminaire de Géométrie Tropicale

Institut Mathématiques de Jussieu ,
Université Pierre et Marie Curie, Paris 6
UMR CNRS 7586



Mercredi 20 mai 16h15 salle 1525-502



Michael Joswig (Technischen Universität Berlin)

Moduli of Tropical Plane Curves

Résumé :
Abstract: We study the moduli space of metric graphs that arise from tropical plane curves. There are far fewer such graphs than tropicalizations of classical plane curves. For fixed genus g, our moduli space is a stacky fan whose cones are indexed by regular unimodular triangulations of Newton polygons with g interior lattice points. It has dimension 2g+1 unless g\leq 3 or g = 7. We compute these spaces explicitly for g \leq 5.
This is a joint work with Sarah Brodsky, Ralph Morrison, and Bernd Sturmfels