3 papers
math.AG2026
Finite order symplectic birational self-maps on Kummer-type manifolds
Yajnaseni Dutta, Dominique Mattei, Stevell Muller +1
A projective hyperkähler manifold of Kummer-type is said to be twisted modular if it is birational to the Albanese fiber of a moduli space of twisted sheaves on an abelian surface.…
math.AG2025
The Tate-Shafarevich group of a polarised K3 surface
Daniel Huybrechts, Dominique Mattei
In an earlier paper we generalised the notion of the Tate-Shafarevich group of an elliptic K3 surface to the Tate-Shafarevich group of a polarised K3 surface. In the present note,…
math.AG2023
Splitting unramified Brauer classes by abelian torsors and the period-index problem
Daniel Huybrechts, Dominique Mattei
We use twisted relative Picard varieties to split Brauer classes on projective varieties over algebraically closed fields by torsors for a fixed abelian scheme independent of the B…