26 citations · 65 across the 18 of their papers we have counts for
4 papers · 1 filter
Drinfeld-Lau Descent over Fibered Categories
Valentina Di Proietto, Fabio Tonini, Lei Zhang
Let be a category fibered in groupoids over a finite field , and let be an algebraically closed field containing . Denote by $ϕ_k\col…
Stacks of fiber functors and Tannaka's reconstruction
Fabio Tonini
Given a quasi-compact category fibered in groupoids and a monoidal subcategory of its category of locally free sheaves , we ar…
Cox rings of algebraic stacks
Andreas Hochenegger, Elena Martinengo, Fabio Tonini
We give a proper definition of the multiplicative structure of the following rings: the Cox ring of invertible sheaves on a general algebraic stack; and the Cox ring of rank one re…
A generalized Abhyankar's conjecture for simple Lie algebras in characteristic
Shusuke Otabe, Fabio Tonini, Lei Zhang
In the present paper, we study a purely inseparable counterpart of Abhyankar's conjecture for the affine line in positive characteristic, and prove its validity for all the finite…