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Holomorphic rank of hypersurfaces with an isolated singularity

Holomorphic rank of hypersurfaces with an isolated singularity LetV be a germ at 0 ∈C 2,n≥3, of hypersurface with an isolated singularity at 0. In this paper we prove that the maximal number of germs of vector fields inV *=V−0, which are linearly independent in all points ofV * is two. In the casesn=3,4 and of quasi homogeneous hypersurfaces (∀n≥3), we prove that this number is one. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Holomorphic rank of hypersurfaces with an isolated singularity

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References (4)

Publisher
Springer Journals
Copyright
Copyright © 1998 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/BF01245871
Publisher site
See Article on Publisher Site

Abstract

LetV be a germ at 0 ∈C 2,n≥3, of hypersurface with an isolated singularity at 0. In this paper we prove that the maximal number of germs of vector fields inV *=V−0, which are linearly independent in all points ofV * is two. In the casesn=3,4 and of quasi homogeneous hypersurfaces (∀n≥3), we prove that this number is one.

Journal

Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals

Published: Feb 12, 2005

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