Enriched curves and their tropical counterpart

2014/12/17 by Abreu, Alex, Pacini, Marco
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1412.5308

Abstract

In her Ph.D. thesis, Mainò introduced the notion of enriched structure on stable curves and constructed their moduli space. In this paper we give a tropical notion of enriched structure on tropical curves and construct a moduli space parametrizing these objects. Moreover, we use this construction to give a toric description of the scheme parametrizing enriched structures on a fixed stable curve.

Related

• Moduli spaces of curves in tropical varieties
• Tropical moduli spaces of stable maps to a curve
• Algebraic and tropical curves: comparing their moduli spaces
• Fine compactified moduli of enriched structures on stable curves
• The moduli stack of enriched structures and a logarithmic compactification