A Space of Meromorphic Mappings and Defects of a Meromorphic Mapping into Pn(C)

On the deficiencies of meromorphic mappings of Cn into PNC

Nagoya Mathematical Journal ◽

10.1017/s0027763000022601 ◽

1977 ◽

Vol 67 ◽

pp. 165-176 ◽

Cited By ~ 4

Author(s):

Seiki Mori

Keyword(s):

Euclidean Space ◽

Projective Space ◽

Complex Projective Space ◽

Meromorphic Mapping ◽

Meromorphic Mappings ◽

Complex Euclidean Space ◽

Complex Projective

Let f(z) be a non-degenerate meromorphic mapping of the n-dimensional complex Euclidean space Cn into the N-dimensional complex projective space PNC. A generalization of results of Edrei-Fuchs [2] for meromorphic mappings of C into PNC was given by Toda [5], and an estimate of K(λ) for meromorphic mappings of Cn into PNC was done by Noguchi [4]. In this note we generalize several results of Edrei-Fuchs [2] in the case of meromorphic mappings of Cn into PNC.

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A relation between order and defects of meromorphic mappings of Cn into Pn(C)

Nagoya Mathematical Journal ◽

10.1017/s0027763000016822 ◽

1975 ◽

Vol 59 ◽

pp. 97-106 ◽

Cited By ~ 6

Author(s):

Junjiro Noguchi

Keyword(s):

Characteristic Function ◽

Projective Space ◽

Complex Plane ◽

Complex Projective Space ◽

Counting Function ◽

Meromorphic Mapping ◽

Meromorphic Mappings ◽

Complex Projective

Let f be a meromorphic mapping of the n-dimensional complex plane Cn into the N-dimensional complex projective space PN(C). We denote by T(r,f) the characteristic function of f and by N(r,f*H) the counting function for a hyperplane H ⊂ PN(C). The purpose of this paper is to establish the following results.

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On Meromorphic Mappings into Taut Complex Analytic Spaces

Nagoya Mathematical Journal ◽

10.1017/s0027763000015579 ◽

1973 ◽

Vol 50 ◽

pp. 49-65

Author(s):

Toshio Urata

Keyword(s):

Holomorphic Mapping ◽

Singular Points ◽

Holomorphic Mappings ◽

Analytic Space ◽

Meromorphic Mapping ◽

Analytic Set ◽

Meromorphic Mappings ◽

Proper Modification ◽

Complex Analytic Space

In this paper, we study a certain difference between meromorphic mappings and holomorphic mappings into taut complex analytic spaces. We prove in §2 that, for any complex analytic space X, there exists a unique proper modification of X with center Sg (X) which is minimal with respect to the property that M(X) is normal and, for any T-meromorphic mapping f: X → Y (see Definition 1.3) into a complex analytic space Y, there exists a unique holomorphic mapping such that except some nowhere dense complex analytic set, where Sg(X) denotes the set of all singular points of X.

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