On the second main theorem of Cartan
Complex Variables
2015-03-09 v2
Abstract
The possibility of reversion of the inequality in the Second Main Theorem of Cartan in the theory of holomorphic curves in projective space is discussed. A new version of this theorem is proved that becomes an asymptotic equality for a class of holomorphic curves defined by solutions of linear differential equations.
Keywords
Cite
@article{arxiv.1409.4850,
title = {On the second main theorem of Cartan},
author = {Alexandre Eremenko},
journal= {arXiv preprint arXiv:1409.4850},
year = {2015}
}
Comments
18 pages. A mistake in the proof of Theorem 2 of the first version is corrected