Fixed points in smooth Calogero-Moser spaces
Representation Theory
2020-06-29 v3 Algebraic Geometry
Abstract
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 space associated with another reflection group.
Cite
@article{arxiv.1803.04287,
title = {Fixed points in smooth Calogero-Moser spaces},
author = {Cédric Bonnafé and Ruslan Maksimau},
journal= {arXiv preprint arXiv:1803.04287},
year = {2020}
}
Comments
29 pages, more details about combinatoric. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, In press