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Algebraic realization of actions of some finite groups

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Abstract

Let G be \(A_5\), \(A_4\), or a finite group with cyclic Sylow 2 subgroup. We show that every closed smooth G manifold M has a strongly algebraic model. This means, there exist a nonsingular real algebraic G variety X which is equivariantly diffeomorphic to M and all G vector bundles over X are strongly algebraic. Making use of improved blow-up techniques and the literature on equivariant bordism theory, we are extending older algebraic realization results.

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Authors and Affiliations

  1. Department of Mathematics, University of Hawaii, Honolulu, HI, 96822, USA

    Karl Heinz Dovermann, Daniel J. Flores & Vincent Giambalvo

  2. University of Connecticut, Storrs, CT, 06269, USA

    Vincent Giambalvo

Authors
  1. Karl Heinz Dovermann
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  2. Daniel J. Flores
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  3. Vincent Giambalvo
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Correspondence to Karl Heinz Dovermann.

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Dovermann, K.H., Flores, D.J. & Giambalvo, V. Algebraic realization of actions of some finite groups. manuscripta math. 165, 239–254 (2021). https://doi.org/10.1007/s00229-020-01208-z

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