20 citations · 52 across the 20 of their papers we have counts for
4 papers · 2 filters
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…
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…
Complex and tropical counts via positive characteristic
Marco Pacini, Damiano Testa
We reconcile the discrepancy between the complex and tropical counts of some enumerative problems reducing to positive characteristic. Each problem that we consider suggests a prim…