3 papers
math.AG2026
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…
math.AG2023
Stability conditions for line bundles on nodal curves
Nicola Pagani, Orsola Tommasi
We introduce the abstract notion of a \emph{smoothable fine compactified Jacobian} of a nodal curve, and of a family of nodal curves whose general element is smooth. Then we introd…
math.AG2023
Wall-crossing of universal Brill-Noether classes
Alex Abreu, Nicola Pagani
We give an explicit graph formula, in terms of decorated boundary strata classes, for the wall-crossing of universal Brill-Noether classes. More precisely, fix n>0 and d<g , and tw…