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.
General
| Imprint: |
Vieweg+teubner Verlag
|
| Country of origin: |
Germany |
| Release date: |
November 2013 |
| First published: |
1985 |
| Authors: |
Wilhelm Stoll
|
| Dimensions: |
244 x 170 x 22mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
347 |
| Edition: |
Softcover reprint of the original 1st ed. 1985 |
| ISBN-13: |
978-3-663-05294-4 |
| Categories: |
Books >
Earth & environment >
Geography >
General
Promotions
|
| LSN: |
3-663-05294-X |
| Barcode: |
9783663052944 |
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