English

Equivariant birational types and Burnside volume

Algebraic Geometry 2020-07-27 v1

Abstract

We introduce equivariant Burnside groups, new invariants in equivariant birational geometry, generalizing birational symbols groups for actions of finite abelian groups, due to Kontsevich, Pestun, and the second author, and study their properties. We establish a specialization map for the equivariant birational type of a smooth algebraic variety with an action of a finite group.

Keywords

Cite

@article{arxiv.2007.12538,
  title  = {Equivariant birational types and Burnside volume},
  author = {Andrew Kresch and Yuri Tschinkel},
  journal= {arXiv preprint arXiv:2007.12538},
  year   = {2020}
}

Comments

41 pages

R2 v1 2026-06-23T17:22:42.858Z