A Cartan's second main theorem approach in Nevanlinna theory
type: Item
instance of: scholarly article
title: A Cartan's second main theorem approach in Nevanlinna theory
zbMATH Open document ID: 1407.32006
author: Min Ru
publication date: 2018-09-18T00:00:00Z
review text: \textit{P. Corvaja} and \textit{U. Zannier} [C. R., Math., Acad. Sci. Paris 334, No. 4, 267--271 (2002; Zbl 1012.11051)] were the first to study integral points on algebraic varieties using Schmidt's subspace theorem in Diophantine approximation, which corresponds to Cartan's second main theorem in Nevanlinna theory. Since the appearance of the paper by Corvaja and Zannier [loc. cit.], there has been significant progress in extending the second main theorem to holomorphic mappings from the complex plane into an arbitrary projective variety intersecting general divisors by using methods related to Cartan's second main theorem. The paper under review is a survey, which gives a systematic study of such an approach, including recent important developments in this direction in a broad sense.
reviewed by: Risto Korhonen
Mathematics Subject Classification ID: 32H30
Mathematics Subject Classification ID: 11J97
zbMATH DE Number: 6938655
zbMATH Keywords: Nevanlinna theory
zbMATH Keywords: second main theorem
MaRDI profile type: Publication
full work available at URL: s10114-018-7367-4
OpenAlex ID: W2796105887
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DOI: 10.1007/S10114-018-7367-4
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 6938655