Moduli of algebraic and tropical curves

2013/01/03 by Abramovich, Dan · 1 citation
#14G22 #14H10 #14T05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1301.0474

Abstract

This is mostly* a non-technical exposition of the joint work arXiv:1212.0373 with Caporaso and Payne. Topics include: Moduli of Riemann surfaces / algebraic curves; Deligne-Mumford compactification; Dual graphs and the combinatorics of the compactification; Tropical curves and their moduli; Non-archimedean geometry and comparison. * Maybe the last section is technical.

Cited by

• Tropical super Gromov-Witten invariants

Related

• Tropical methods in the moduli theory of algebraic curves
• Algebraic and tropical curves: comparing their moduli spaces
• Lectures on tropical curves and their moduli spaces
• Tropical Geometric Compactification of Moduli, I - M_g case -
• Notes on the construction of the moduli space of curves