3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.AG2022
Degree-2 Abel maps and hyperelleptic curves
Alex Abreu, Sally Andria, Marco Pacini
In this paper we resolve the degree-2 Abel map for nodal curves. Our results are based on a previous work of the authors reducing the problem of the resolution of the Abel map to a…
math.AG2020
Abel Maps for nodal curves via tropical geometry
Alex Abreu, Sally Andria, Marco Pacini
We consider Abel maps for regular smoothing of nodal curves with values in the Esteves compactified Jacobian. In general, these maps are just rational, and an interesting question…
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…