English

Rationality of quotients by finite Heisenberg groups

Algebraic Geometry 2020-10-20 v2 Group Theory

Abstract

We prove rationality of the quotient Cn/Hn\mathbb{C}^n / H_n for the finite Heisenberg group HnH_n, any n1n \ge 1, acting on Cn\mathbb{C}^n via its irreducible representation.

Keywords

Cite

@article{arxiv.2010.05196,
  title  = {Rationality of quotients by finite Heisenberg groups},
  author = {Stanislav Grishin and Ilya Karzhemanov and with an Appendix by Ming-chang Kang},
  journal= {arXiv preprint arXiv:2010.05196},
  year   = {2020}
}

Comments

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