Fixed points in smooth Calogero-Moser spaces

Cédric Bonnafé (1) , Ruslan Maksimau (1)

1 IMAG - Institut Montpelliérain Alexander Grothendieck

We prove that every irreducible component of the fixed point variety under the action of $d$-th roots of unity in a smooth Caloger-Moser space is isomorphic to a Calogero-Moser space associated with another reflection group.

Domaines: Théorie des représentations [math.RT]; Géométrie algébrique [math.AG]

Cédric Bonnafé, Ruslan Maksimau. Fixed points in smooth Calogero-Moser spaces. Annales de l'Institut Fourier, 2019, 71, pp.643-678. ⟨10.5802/aif.3404⟩. ⟨hal-01728667v3⟩