Logo image
A second main theorem on parabolic manifolds
Journal article   Open access   Peer reviewed

A second main theorem on parabolic manifolds

Asian Journal of Mathematics, Vol.9(3), pp.349-372
2005

Abstract

Parabolic manifolds Second main theorem Value distribution theory Mathematics (all) Applied Mathematics
In [St], [WS], Stoll and Wong-Stoll established the Second Main Theorem of mero- morphic maps f: M → P N (C) intersecting hyperplanes, under the assumption that f is linear non-degenerate, where M is a m-dimensional affine algebraic manifold(the proof actually works for more general category of Stein parabolic manifolds). This paper deals with the degenerate case. Us- ing P. Vojta's method, we show that there exists a finite union of proper linear subspaces ofP N (C), depending only on the given hyperplanes, such that for every (possibly degenerate) meromorphic map f: M → P N (C), if its image is not contained in that union, the inequality of Wong-Stoll's theorem still holds (without the ramification term). We also carefully examine the error terms appearing in the inequality.
url
https://doi.org/10.4310/AJM.2005.v9.n3.a4View
Published (Version of record) Open

Related links

Metrics

1 Record Views

Details

Logo image