Journal article

Complete intersections with S¹-action

  • Dessai, Anand Département de Mathématiques, Université de Fribourg, Switzerland
  • Wiemeler, Michael Institut für Mathematik, Universität Augsburg, Germany
    20.02.2017
Published in:
  • Transformation Groups. - 2017, p. 1–26
English We give the diffeomorphism classification of complete intersections with S1-symmetry in dimension ≤ 6. In particular, we show that a 6-dimensional complete intersection admits a smooth non-trivial S1-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.
Faculty
Faculté des sciences et de médecine
Department
Département de Mathématiques
Language
  • English
Classification
Mathematics
License
License undefined
Identifiers
Persistent URL
https://folia.unifr.ch/unifr/documents/305223
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