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

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dc.creatorVojta, Paul
dc.date2005-11-17
dc.date2008-02-08
dc.date.accessioned2026-07-07T09:19:21Z
dc.date.available2026-07-07T09:19:21Z
dc.descriptionIn 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.
dc.description6 pages, 1 figure. Reorganized to reflect the submitted version; added a reference to a paper of Nochka
dc.identifierhttps://arxiv.org/abs/math/0511459
dc.identifierhttp://arxiv.org/abs/math/0511459
dc.identifierJournal of Number Theory 125 (2007), pp. 229-234
dc.identifierdoi:10.1016/j.jnt.2006.10.014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154358
dc.subjectNumber Theory
dc.subjectComplex Variables
dc.subject11J13 (Primary); 11J97, 32H30 (Secondary)
dc.titleOn the Nochka-Chen-Ru-Wong Proof of Cartan's Conjecture
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