F. Tonini

activity

20172021

collaborators

3 papers

math.AG2021

Stack of $S_{3}$ -covers

Fabio Tonini

The aim of this paper is to study the geometry of the stack of $S_{3}$ -covers. We show that it has two irreducible components $Z_{S_{3}}$ and $Z_{2}$ meeting in…

math.AG2020

Stacks of fiber functors and Tannaka's reconstruction

Fabio Tonini

Given a quasi-compact category fibered in groupoids $X$ and a monoidal subcategory $C$ of its category of locally free sheaves $Vect (X)$ , we ar…

math.AG2017

Essentially Finite Vector Bundles on Normal Pseudo-proper Algebraic Stacks

Fabio Tonini, Lei Zhang

Let $X$ be a normal, connected and projective variety over an algebraically closed field $k$ . It is known that a vector bundle $V$ on $X$ is essentially finite if and only if it is…

Stack of S3​-covers

Stacks of fiber functors and Tannaka's reconstruction

Essentially Finite Vector Bundles on Normal Pseudo-proper Algebraic Stacks

Stack of $S_{3}$ -covers