Fixed points in smooth Calogero-Moser spaces

Abstract

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.

29 pages, more details about combinatoric. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, In press