4 papers
The hyperkähler period-index conjecture is false
Pieter Belmans, James Hotchkiss
Huybrechts conjectured that for every Brauer class on a hyperkähler variety we have that , strengthening the usual p…
Moduli spaces of semiorthogonal decompositions in families
Pieter Belmans, Shinnosuke Okawa, Andrea T. Ricolfi
To a smooth and proper morphism with quasicompact semiseparated target we associate a sheaf in the étale topology, which takes an affine -scheme to the s…
Indecomposability of derived categories in families
Francesco Bastianelli, Pieter Belmans, Shinnosuke Okawa +1
Using the moduli space of semiorthogonal decompositions in a smooth projective family, introduced by the second, the third and the fourth author, we propose a novel approach to ind…
Central curves on noncommutative surfaces
Thilo Baumann, Pieter Belmans, Okke van Garderen
There exists a dictionary between hereditary orders and smooth stacky curves, resp. tame orders of global dimension 2 and Azumaya algebras on smooth stacky surfaces. We extend this…