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COMPLETE INTERSECTIONS WITH S 1-ACTION

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Abstract

We give the diffeomorphism classification of complete intersections with S 1-symmetry in dimension ≤ 6. In particular, we show that a 6-dimensional complete intersection admits a smooth non-trivial S 1-action if and only if it is diffeomorphic to the complex projective space or the quadric. We also prove that in any odd complex dimension only finitely many complete intersections can carry a smooth effective action by a torus of rank > 1.

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Authors and Affiliations

  1. Département de Mathématiques, Université de Fribourg, Chemin du Musée 23, 1700, Fribourg, Switzerland

    ANAND DESSAI

  2. Institut für Mathematik, Universität Augsburg, 86135, Augsburg, Germany

    MICHAEL WIEMELER

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  1. ANAND DESSAI
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  2. MICHAEL WIEMELER
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Correspondence to ANAND DESSAI.

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DESSAI, A., WIEMELER, M. COMPLETE INTERSECTIONS WITH S 1-ACTION. Transformation Groups 22, 295–320 (2017). https://doi.org/10.1007/s00031-017-9418-9

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