activity
19972026
most citedNotes on Grothendieck topologies, fibered categories and descent theory

74 citations · 433 across the 39 of their papers we have counts for

collaborators

47 papers

math.AG2026

Neutral representations of finite diagonalizable group schemes and fields of moduli

Giulio Bresciani, Angelo Vistoli, Tianzhi Yang

We introduce the notion of a neutral representation of a finite group, or finite group scheme, ; a representation with the property that if a gerbe over a fiel…

math.AG2025

The geometric K-theory of quotient stacks

Francesco Sala, Laurent Schadeck, Angelo Vistoli

Given a quotient of a regular noetherian separated algebraic space over a field by an affine algebraic group having finite stabilizers (with some mild technical conditions)…

math.AG2023

Integral Picard group of moduli of polarized K3 surfaces

Andrea Di Lorenzo, Roberto Fringuelli, Angelo Vistoli

We compute the integral Picard group of the moduli stack of polarized K3 surfaces of fixed degree whose singularities are at most rational double points. We also compute the integr…

math.AG2022★ 10 cited

An arithmetic valuative criterion for proper maps of tame algebraic stacks

Giulio Bresciani, Angelo Vistoli

The valuative criterion for proper maps of schemes has many applications in arithmetic, e.g. specializing -points to -points. For algebraic stacks,…

math.AG2022★ 1 cited

Fields of moduli and the arithmetic of tame quotient singularities

Giulio Bresciani, Angelo Vistoli

Given a perfect field with algebraic closure and a variety over , the field of moduli of is the subfield of of elements fixe…

math.AG2021★ 1 cited

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…