10 citations · 14 across the 3 of their papers we have counts for
4 papers
The period-index problem and Hodge theory
Aise Johan de Jong, Alexander Perry
Conditional on the Lefschetz standard conjecture in degree 2, we prove that the index of a Brauer class on a smooth projective variety divides a fixed power of its period, uniforml…
On weakly étale morphisms
Aise Johan de Jong, Noah Olander
We show that the weakly étale morphisms, used to define the pro-étale site of a scheme, are characterized by a lifting property similar to the one which characterizes formally étal…
Crystalline cohomology and de Rham cohomology
Bhargav Bhatt, Aise Johan de Jong
The goal of this short paper is to give a slightly different perspective on the comparison between crystalline cohomology and de Rham cohomology. Most notably, we reprove Berthelot…
On Hitchin's Connection
Bert van Geemen, Aise Johan de Jong
The aim of this paper is to give an explicit expression for Hitchin's connection in the case of rank 2 bundles with trivial determinant over curves of genus 2. We recall the defini…