Strongly algebraic realization of dihedral group actions

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

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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

Authors

Karl Heinz Dovermann
Department of Mathematics University of Hawaii at Manoa Honolulu, HI United States

Vol. 305, No. 2, 2020

Karl Heinz Dovermann

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification 2010

Milestones

Authors