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ALGEBRAIC REALIZATION FOR CYCLIC GROUP ACTIONS WITH ONE ISOTROPY TYPE

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Abstract

Suppose G is a cyclic group and M a closed smooth G-manifold with exactly one isotropy type. We will show that there is a nonsingular real algebraic G-variety X such that X is equivariantly diffeomorphic to M and all G-vector bundles over X are strongly algebraic.

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Authors and Affiliations

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

    KARL HEINZ DOVERMANN

  2. Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109, USA

    ARTHUR G. WASSERMAN

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  1. KARL HEINZ DOVERMANN
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  2. ARTHUR G. WASSERMAN
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Correspondence to KARL HEINZ DOVERMANN.

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DOVERMANN, K.H., WASSERMAN, A.G. ALGEBRAIC REALIZATION FOR CYCLIC GROUP ACTIONS WITH ONE ISOTROPY TYPE. Transformation Groups 25, 483–515 (2020). https://doi.org/10.1007/s00031-019-09519-6

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