4 papers
Log geometry and lifting rational points
Leo Herr, Sara Mehidi, Marta Pieropan +1
For a morphism of schemes, we give a tropical criterion for which points of (valued in a field, discrete valuation ring, number ring, or Dedekind domain) lift to…
Moduli of finite flat torsors over nodal curves
Sara Mehidi, Thibault Poiret
We show that log flat torsors over a family of nodal curves under a finite flat commutative group scheme are classified by maps from the Cartier dual of to the log…
The many faces of a logarithmic scheme
Thibault Poiret, Dhruv Ranganathan
A standard assumption in the study of logarithmic structures is "fineness", but this assumption is not preserved by intersections, fiber products, and more general limits. We expla…
Models of Jacobians of curves
David Holmes, Samouil Molcho, Giulio Orecchia +1
We show that the Jacobians of prestable curves over toroidal varieties always admit Néron models. These models are rarely quasi-compact or separated, but we also give a complete c…