Algebraic Function Fields on Complex Analytic Spaces

N. Kuhlmann
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N. Kuhlmann: University of Notre Dame, Department of Mathematics

A chapter in Proceedings of the Conference on Complex Analysis, 1965, pp 155-172 from Springer

Abstract: Abstract It has turned out that the theory of holomorphic mappings of complex spaces as developed by R. Remmert and K. Stein (see [13], [24], [25], [26], [27], [29], [34], [35], [36], [37], for a different approach see E. Bishop [6], H. Rossi [30]) is an excellent tool in exploring the relationship between algebraic and analytic dependence of meromorphic functions (see for instance [26], [27], [34], [37]). The purpose of the present paper is to describe some applications of the mapping theory in this direction.

Keywords: Meromorphic Function; Maximal Ideal; Neighborhood Versus; Algebraic Function; Structure Sheaf (search for similar items in EconPapers)
Date: 1965
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DOI: 10.1007/978-3-642-48016-4_14

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