Resume
Soit U un voisinage ouvert de l'origine 0 de ℂn et f une application analytique de U dans ℂn telle que 0 soit un point isolé dans la fibre f−1(0).
Soient f1, ..., fn les composantes de l'application f; on calcule la multiplicité d'intersection des n hypersurfaces
à l'origine grâce à des formules intégrales.
Rédaction de l'exposé du 13 Décembre 1973.
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Bibliographie
R. CACCIOPPOLI “Residui di integrali doppi e intersezioni di curve analitiche” Annali di Matematica 29 (1949)
LÊ DŨNG TRÁNG “Singularités isolées des hypersurfaces complexes” Centre Math. Ecole Polytechnique (1969)
E. MARTINELLI “Sulle intersezioni delle curve analitiche complesse” Rendiconti di Matematica-Roma 14 (1955) “Contributi alla teoria dei residui per le funzioni di due variabili complesse.” Annali di Matematica—39—(1955)
J. MILNOR “Singular points of complex hypersurfaces” Annals of Math. Studies, 61—Princeton (1968) Appendix B.
SAMUL ZARISKI “Commutative Algebra” Van Nostrand—Volume II
V.S. VLADIMIROV “Methods of the theory of functions of many complex variables” The Massachusetts Institute of Technology Press.
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© 1975 Springer-Verlag
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Bescheron, D. (1975). Multiplicite d'intersection et formules integrales. In: Norguet, F. (eds) Fonctions de Plusieurs Variables Complexes II. Lecture Notes in Mathematics, vol 482. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080245
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DOI: https://doi.org/10.1007/BFb0080245
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