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On the Nochka-Chen-Ru-Wong Proof of Cartan's Conjecture

Paul Vojta
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Abstract

In 1982-83, E. Nochka proved a conjecture of Cartan on defects of holomorphic curves in $\Bbb P^n$ 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.

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BibTeXRIS

Paul Vojta. 2008-02-08. On the Nochka-Chen-Ru-Wong Proof of Cartan's Conjecture. https://doi.org/10.1016/j.jnt.2006.10.014

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