On the Nochka-Chen-Ru-Wong Proof of Cartan's Conjecture
Paul Vojta
Abstract
In 1982-83, 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 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.
Create a lesson
Related papers
The existence of small defining polynomials for number fields
Manjul Bhargava, Sameera Vemulapalli
Arithmetic Siegel--Weil formula on the product of modular curves
Ryan C. Chen, Baiqing Zhu
The large sieve inequality and additive decompositions of sums of squares
Christian Elsholtz, Julia Stadlmann
Universal norms of partially de Rham B-pairs and perfectness in Lubin--Tate Iwasawa theory
Marvin Schneider, Rustam Steingart
GCD and ABC inequalities for abelian varieties over function fields
Guoquan Gao
S-squareful values of binary quadratic forms
Sarah Sophie Pohl