3 citations · 8 across the 3 of their papers we have counts for
6 papers
Logarithmic moduli of roots of line bundles on curves
David Holmes, Giulio Orecchia
We use the theory of logarithmic line bundles to construct compactifications of spaces of roots of a line bundle on a family of curves, generalising work of a number of authors. Th…
BPS invariants from -adic integrals
Francesca Carocci, Giulio Orecchia, Dimitri Wyss
We define -adic BPS or BPS-invariants for moduli spaces of 1-dimensional sheaves on del Pezzo surfaces by means of integration over a non-archimedean local field $F…
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…
Unramified F-divided objects and the étale fundamental pro-groupoid in positive characteristic
Yuliang Huang, Giulio Orecchia, Matthieu Romagny
Fix a scheme of characteristic . Let be an -algebraic stack and let $\mbox{Fdiv}(\mathscr{M})$ be the stack of $\mbox{F}$-divided objects, that is sequences…
A monodromy criterion for existence of Neron models of abelian schemes in characteristic zero
Giulio Orecchia
We consider the problem of existence of Neron models for a family of abelian varieties over a base of dimension greater than 1. We show that when S is of equicharacteristic zero, t…
A criterion for existence of Néron models of jacobians
Giulio Orecchia
Néron models of abelian varieties do not necessarily exist if the base has dimension higher than 1. We introduce a new condition, called toric additivity, on a family of smooth…