Complete intersections with S¹-action
- Dessai, Anand Département de Mathématiques, Université de Fribourg, Switzerland
- Wiemeler, Michael Institut für Mathematik, Universität Augsburg, Germany
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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
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 280049
- DOI 10.1007/s00031-017-9418-9
- Persistent URL
- https://folia.unifr.ch/unifr/documents/305223
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