Alex Abreu

activity

20132026

most citedThe universal tropical Jacobian and the skeleton of the Esteves' universal Jacobian

20 citations · 35 across the 14 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.AG2019★ 3 cited

A universal tropical Jacobian over $M_g^{\trop}$

Alex Abreu, Sally Andria, Marco Pacini +1

We introduce and study polystable divisors on a tropical curve, which are the tropical analogue of polystable torsion-free rank-1 sheaves on a nodal curve. We construct a universal…

math.AG2019★ 1 cited

The resolution of the universal Abel map via tropical geometry and applications

Alex Abreu, Marco Pacini

Let $g$ and $n$ be nonnegative integers and $A = (a_{0}, \dots, a_{n})$ a sequence of $n + 1$ integers summing up to $d$ . Let $M_{g, n + 1}$ be the moduli space of…