Rationality of quotients by finite Heisenberg groups

Abstract

We prove rationality of the quotient ${\mathbb{C}}^n/H_n$ for the finite Heisenberg group $H_n$, any $n\ge 1$, acting on ${\mathbb{C}}^n$ via its irreducible representation.

arXiv comment9 pages; v2: added Appendix by Ming-chang Kang and minor changes made