The Density Property for Calogero--Moser spaces

TL;DR

This paper proves the algebraic density property for Calogero--Moser spaces and describes their automorphism groups, advancing understanding of their geometric and algebraic structure.

Contribution

It establishes the algebraic density property for Calogero--Moser spaces and characterizes their automorphism groups, providing new insights into their structure.

Findings

Proved the algebraic density property for Calogero--Moser spaces

Described the identity component of the holomorphic automorphism group

Enhanced understanding of the geometric structure of Calogero--Moser spaces

Abstract

We prove the algebraic density property for the Calogero--Moser spaces $\mathcal{C}_{n}$, and give a description of the identity component of the group of holomorphic automorphisms of $\mathcal{C}_{n}$.