activity
19962020
most citedThe tropicalization of the moduli space of curves

185 citations · 449 across the 32 of their papers we have counts for

collaborators

36 papers

math.AG2020★ 2 cited

Corrections to {\it Uniformity of rational points} and further comments

Lucia Caporaso, Joe Harris, Barry Mazur

This paper corrects an error in the authors' earlier work, by proving stronger forms of the basic lemmas

math.AG2020

Theta characteristics on tropical curves

Lucia Caporaso, Margarida Melo, Marco Pacini

We give an explicit description of theta-characteristics on tropical curves and characterize the effective ones. We construct the moduli space for tropical theta-characteristics of…

math.AG2019

Tropicalizing the moduli space of spin curves

Lucia Caporaso, Margarida Melo, Marco Pacini

We study the tropicalization of the moduli space of algebraic spin curves, exhibit its combinatorial stratification and prove that the strata are irreducible. We construct the modu…

math.AG2018

Recursive combinatorial aspects of compactified moduli spaces

Lucia Caporaso

A connection between moduli spaces of algebro-geometric objects and moduli spaces of polyhedral objects has been under investigation in recent years. Loosely speaking, the skeleton…

math.AG2018

Combinatorics of compactified universal Jacobians

Lucia Caporaso, Karl Christ

We use orientations on stable graphs to express the combinatorial structure of the compactified universal Jacobians in degrees g-1 and g over the moduli space of stable curves, \Mg…

math.AG2016★ 1 cited

Tropical methods in the moduli theory of algebraic curves

Lucia Caporaso

In recent years a series of remarkable advances in tropical geometry and in non-archimedean geometry have brought new insights to the moduli theory of algebraic curves and their Ja…