Moduli of algebraic and tropical curves

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

paper · pdf · doi:10.48550/arxiv.1301.0474

14 pages, 11 figures. This text accompanies the author's De Giorgi Colloquium Lecture at the Scuola Normale Superiore, Pisa, May 22, 2012

arxiv created 2013/01/03 · arxiv updated 2013/01/04

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.

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