Value distribution theory for meromorphic maps by Wilhelm Stoll

By Wilhelm Stoll

Worth distribution conception experiences the habit of mermorphic maps. permit f: M - N be a merom orphic map among complicated manifolds. A goal family members CI ~ (Ea1aEA of analytic subsets Ea of N is given the place A is a hooked up. compact complicated manifold. The habit of the inverse 1 family members ["'(CI) = (f- {E )laEA is investigated. a considerable idea has been a created by way of many individuals. often the pursuits Ea remain fastened. although we will be able to give some thought to a finite set IJ of meromorphic maps g : M - A and research the occurrence f{z) E Eg(z) for z E M and a few g E IJ. right here we examine this case: M is a parabolic manifold of measurement m and N = lP n is the n-dimensional projective area. The family members of hyperplanes in lP n is the objective relatives parameterized by way of the twin projective house lP* We receive a Nevanlinna concept such as numerous n First major Theorems. moment major Theorems and illness family members and expand contemporary paintings through B. Shiffman and through S. Mori. We use the Ahlfors-Weyl idea transformed by means of the curvature approach to Cowen and Griffiths. The creation contains elements. partially A. we comic strip the idea for mounted objectives to supply heritage if you are familar with advanced research yet will not be familiar with price distribution idea.

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