On the Nochka-Chen-Ru-Wong Proof of Cartan's Conjecture
Number Theory
2008-02-08 v2 Complex Variables
Abstract
In 1982-83, E. Nochka proved a conjecture of Cartan on defects of holomorphic curves in relative to a possibly degenerate set of hyperplanes. This was further explained by W. Chen in his 1987 thesis, and subseqently simplified by M. Ru and P.-M. Wong in 1991. The proof involved assigning weights to the hyperplanes. This paper provides a mild simplification of the proof of the construction of the weights, by construing the ``Nochka diagram'' of Ru and Wong as a convex hull.
Cite
@article{arxiv.math/0511459,
title = {On the Nochka-Chen-Ru-Wong Proof of Cartan's Conjecture},
author = {Paul Vojta},
journal= {arXiv preprint arXiv:math/0511459},
year = {2008}
}
Comments
6 pages, 1 figure. Reorganized to reflect the submitted version; added a reference to a paper of Nochka