37 citations · 78 across the 20 of their papers we have counts for
28 papers
Complex reflection groups and K3 surfaces I
Cédric Bonnafé, Alessandra Sarti
We construct here many families of K3 surfaces that one can obtain as quotients of algebraic surfaces by some subgroups of the rank four complex reflection groups. We find in total…
K3 surfaces with maximal finite automorphism groups containing
Cédric Bonnafé, Alessandra Sarti
It was shown by Mukai that the maximum order of a finite group acting faithfully and symplectically on a K3 surface is and that the group is isomorphic to the group …
Translation by the full twist and Deligne-Lusztig varieties
Cédric Bonnafé, Olivier Dudas, Raphaël Rouquier
We prove several conjectures about the cohomology of Deligne-Lusztig varieties: invariance under conjugation in the braid group, behaviour with respect to translation by the full t…
A surface of degree with singularities of type
Cédric Bonnafé
Using the invariant algebra of the reflection group denoted by in Shephard-Todd classification, we construct three irreducible surfaces in with many singularities:…
Fixed points in smooth Calogero-Moser spaces
Cédric Bonnafé, Ruslan Maksimau
We prove that every irreducible component of the fixed point variety under the action of -th roots of unity in a smooth Caloger-Moser space is isomorphic to a Calogero-Moser spa…
On the Calogero-Moser space associated with dihedral groups
Cédric Bonnafé
Using the geometry of the associated Calogero-Moser space, R. Rouquier and the author have attached to any finite complex reflection group several notions (Calogero-Moser left,…