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Des derivees de residus et une identite remarquable

Published online by Cambridge University Press:  22 January 2016

Francisco Gomez  and
Daniel Lehmann
Francisco Gomez
Affiliation:
Dep. Algebra, Geometrίa, Topologίa Fac. Ciencias, Université de Málaga, Campus Teatinos, Ap. 59, 29080 Málaga, Espagne, Email: GOMEZ-RUIZ@CCUMA.UMA.ES Fax (34) 52 13 20 00
Daniel Lehmann
Affiliation:
GETODIM, CNRS, UA 1407 Université de Montpellier II, Case 051, Place E. Bataillon, 34095 Montpellier cedex, France, Email: LEHMANN@FRMOP22.bitnet Fax (33) 67 54 30 79
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Soit φ un polynome symétrique de q variables (q ≥ 1), homogène de degré p (p entier ≥ 2), à coefficients complexes. Soient (α1, α2, . . . , p) et (β1, β2, . . . , βp) deux familles de p nombres complexes, tous non nuls, et telles que toutes les différences soient également non nulles pour i ≠ j. Soient enfin (λ1, λ2, . . . , λq) et (μ1, μ2, . . . , μq) deux familles de q nombres complexes. On a alors:

THÉORÈME 1.

.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 135 , September 1994 , pp. 197 - 206
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1994

References

Bibliographie

[B1] Bott, R., Vector fields and characteristic numbers, Michigan Math. J., 14 (1967), 231–244.CrossRefGoogle Scholar
[B2] Bott, R., A residue formula for holomorphic vector fields, J. Differential Geometry, 1 (1967), 311–330.Google Scholar
[B3] Bott, R., Lectures on characteristic classes and foliations, Springer Lecture Notes, 279 (1972).Google Scholar
[BB] Baum, P. et Bott, R., Singularities of holomorphic foliations, J. Differential Geometry, 7(1972), 279–342.Google Scholar
[L1] Lehmann, D., Résidus des sous variétés invariantes d’un feuilletage singulier, Ann. Inst Fourier, 41 fasc. 1 (1991), 211–258.CrossRefGoogle Scholar
[L2] Lehmann, D., Residues of higher order and holomorphic vector fields, Ann. Global Anal. Geom., 12(1994), 109–122.CrossRefGoogle Scholar
[S] Soares, M., Algebraic differential systems on P (C), en cours de rédaction.Google Scholar