The Defect Relation for Meromorphic Maps Defined on Covering Parabolic Manifolds PDF Download
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Author: Emmanuel Theodore Bardis
Publisher:
ISBN:
Category :
Languages : en
Pages : 266
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Author: Emmanuel Theodore Bardis
Publisher:
ISBN:
Category :
Languages : en
Pages : 266
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Book Description
Author: George Lawrence Ashline
Publisher: American Mathematical Soc.
ISBN: 0821810693
Category : Mathematics
Languages : en
Pages : 95
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Book Description
This book is intended for graduate students and research mathematicians working in several complex variables and analytic spaces.
Author: Wanxi Chen
Publisher:
ISBN:
Category :
Languages : en
Pages : 332
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Book Description
Author: Wilhelm Stoll
Publisher: Springer Science & Business Media
ISBN: 3663052923
Category : Science
Languages : en
Pages : 358
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Book Description
Value distribution theory studies the behavior of mermorphic maps. Let f: M - N be a merom orphic map between complex manifolds. A target family CI ~ (Ea1aEA of analytic subsets Ea of N is given where A is a connected. compact complex manifold. The behavior of the inverse 1 family ["'(CI) = (f- {E )laEA is investigated. A substantial theory has been a created by many contributors. Usually the targets Ea stay fixed. However we can consider a finite set IJ of meromorphic maps g : M - A and study the incidence f{z) E Eg(z) for z E M and some g E IJ. Here we investigate this situation: M is a parabolic manifold of dimension m and N = lP n is the n-dimensional projective space. The family of hyperplanes in lP n is the target family parameterized by the dual projective space lP* We obtain a Nevanlinna theory consisting of several n First Main Theorems. Second Main Theorems and Defect Relations and extend recent work by B. Shiffman and by S. Mori. We use the Ahlfors-Weyl theory modified by the curvature method of Cowen and Griffiths. The Introduction consists of two parts. In Part A. we sketch the theory for fixed targets to provide background for those who are familar with complex analysis but are not acquainted with value distribution theory.
Author: Pit-Mann Wong
Publisher:
ISBN:
Category :
Languages : en
Pages : 462
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Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 796
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Author: Wilhelm Stoll
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 188
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Book Description
The University of Notre Dame held a symposium on value distribution in several complex variables in 1990. Its purpose was to reflect the growth of this field from its beginning nearly 60 years ago as well as its connections to related areas. These proceedings present the lectures.
Author: Suraizou Sogomé
Publisher:
ISBN:
Category : Functions, Meromorphic
Languages : en
Pages : 136
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 684
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Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 916
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