Abstract
In this paper there has been given a constructive proof of the equivalence of the parametric and algebraic multiplicities of an isolated zero of a holomorphic mapping.
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References
ATIYAH, M.F. and I.G. MACDONALD: Introduction to Commutative Algebra, Addison-Wesley Publ. Co., 1969.
CHARZYŃSKI, Z.: Sur certaines évaluations générales d'une fonction analytique de deux variables dans le voisinage d'un zéro isolé, Colloq. Math. 26 (1962), No. 8.
CHADZYŃSKI, J.: On the order of an isolated zero of a holomorphic map (to appear).
FULTON, W.: Algebraic Curves, Benjamin Publ. Co., 1969.
HERVÉ, M.: Several Complex Variables. Local Theory, Oxford Univ. Press, 1963.
HŐRMANDER, L.: Differentiability properties of solutions of differential equations, Ark. Math., 3 (1956).
ŁOJASIEWICZ, S.: Sur le problème de la division, Studia Math., 18 (1959).
ORLIK, P.: The multiplicity of a holomorphic map at an isolated critical point, Proc. of Nordic Summer School/NAVF, Symp. of Math., Oslo 1976.
SAKS, S. and A. ZYGMUND: Analytic Functions, P.W.N., 1965.
SHAFAREVICH, J.R.: Basic Algebraic Geometry, Springer-Verlag, 1977.
WALKER, R.J.: Algebraic Curves, Springer-Verlag, 1978.
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© 1983 Springer-Verlag Berlin Heidelberg
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Chądzyński, J., Krasiński, T., Kryszewski, W. (1983). On the parametric and algebraic multiplicities of an isolated zero of a holomorphic mapping. In: Ławrynowicz, J. (eds) Analytic Functions Błażejewko 1982. Lecture Notes in Mathematics, vol 1039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073359
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DOI: https://doi.org/10.1007/BFb0073359
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