10 citations · 40 across the 18 of their papers we have counts for
4 papers · 1 filter
The genericity theorem for the essential dimension of tame stacks
Giulio Bresciani, Angelo Vistoli
Let be a regular tame stack. If is locally of finite type over a field, we prove that the essential dimension of is equal to its generic essential dimension, this gener…
On the birational section conjecture with strong birationality assumptions
Giulio Bresciani
Let be a curve over a field finitely generated over and an indeterminate. We prove that, if is a section of such tha…
On the section conjecture and Brauer-Severi varieties
Giulio Bresciani
J. Stix proved that a curve of positive genus over which maps to a non-trivial Brauer-Severi variety satisfies the section conjecture. We prove that, if is a curve…
A higher dimensional Hilbert irreducibility theorem
Giulio Bresciani
Assuming the weak Bombieri-Lang conjecture, we prove that a generalization of Hilbert's irreducibility theorem holds for families of geometrically mordellic varieties (for instance…