کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4595351 1335810 2007 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the Nochka–Chen–Ru–Wong proof of Cartan's conjecture
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the Nochka–Chen–Ru–Wong proof of Cartan's conjecture
چکیده انگلیسی

In 1982–1983, E. Nochka proved a conjecture of Cartan on defects of holomorphic curves in Pn relative to a possibly degenerate set of hyperplanes. This was further explained by W. Chen in his 1987 thesis, and subsequently simplified by M. Ru and P.-M. Wong in 1991. The proof involved assigning weights to the hyperplanes. This paper provides further simplification of the proof of the construction of the weights, by bringing back the use of the convex hull in working with the “Nochka diagram.”

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 125, Issue 1, July 2007, Pages 229-234