20 citations · 52 across the 20 of their papers we have counts for
28 papers
Extending Andreotti's proof of Torelli's theorem to nodal curves
Alex Abreu, Marco Pacini, Nicola Pagani
Let be a connected nodal curve of genus over an algebraically closed field of characteristic zero. Let \[ A(C)=\Big(J(C), {\overline{P^{g-1}_C}}, Θ(C) \Big) \] be the s…
A Torelli theorem for graphs via quasistable divisors
Alex Abreu, Marco Pacini
The Torelli theorem establishes that the Jacobian of a smooth projective curve, together with the polarization provided by the theta divisor, fully characterizes the curve. In the…
On moduli spaces of roots in algebraic and tropical geometry
Alex Abreu, Marco Pacini, Matheus Secco
In this paper we construct a tropical moduli space parametrizing roots of divisors on tropical curves. We study the relation between this space and the skeleton of Jarvis moduli sp…
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…
The moduli space of quasistable spin curves
Alex Abreu, Marco Pacini, Danny Taboada
We study a compactification of the moduli space of theta characteristics, giving a modular interpretation of the geometric points and describing the boundary stratification. This s…
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…