4 citations · 5 across the 5 of their papers we have counts for
5 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…
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…
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…
Néron models of Jacobians over bases of arbitrary dimension
Thibault Poiret
We work with a smooth relative curve with nodal reduction over an excellent and locally factorial scheme . We show that blowing up a nodal model of in the ideal sh…
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 cl…