Strongly algebraic realization of dihedral group actions

Karl Heinz Dovermann

Vol. 305 (2020), No. 2, 563–576

DOI: 10.2140/pjm.2020.305.563

Abstract

Let $D_{2q}$ be the dihedral group with $2q$ elements and suppose that $q$ is not divisible by $4$. Let $M$ be a closed smooth $D_{2q}$-manifold. Then there exists a nonsingular real algebraic $D_{2q}$-variety $X$ which is equivariantly diffeomorphic to $M$ and all $D_{2q}$-vector bundles over $X$ are strongly algebraic.

Keywords

real algebraic models, equivariant bordism

Mathematical Subject Classification 2010

Primary: 14P25

Secondary: 57S15, 57S25

Milestones

Received: 20 August 2018

Revised: 29 July 2019

Accepted: 30 July 2019

Published: 29 April 2020