9 citations · 15 across the 20 of their papers we have counts for
20 papers
Analytic Ax-Schanuel Theorem for semi-abelian varieties and Nevanlinna theory
Junjiro Noguchi
The purpose of this paper is to explore Nevanlinna theory of the entire curve $\exh_A f:=(\exp_Af,f):\C \to A \times \Lie(A)$ associated with an entire curve $f: \C \to \Lie(A)$, w…
On Kiyoshi Oka's Unpublished Papers in 1943
Junjiro Noguchi
In 1943 from September to December Kiyoshi Oka wrote a series of papers numbered from VII to XI, as the research reports to Teiji Takagi (then, Professor of Tokyo Imperial Universi…
A brief proof of Bochner's tube theorem and a generalized tube
Junjiro Noguchi
The aim of this note is firstly to give a new brief proof of classical Bochner's Tube Theorem (1938) by making use of K. Oka's Boundary Distance Theorem (1942), showing directly th…
Analytic and rational sections of relative semi-abelian varieties
Pietro Corvaja, Junjiro Noguchi, Umberto Zannier
The hyperbolicity statements for subvarieties and complements of hypersurfaces in abelian varieties admit arithmetic analogues, due to Faltings (and Vojta for the semi-abelian case…
A Brief Chronicle of the Levi (Hartogs' Inverse) Problem, Coherence and an Open Problem
Junjiro Noguchi
Here we chronologically summarize briefly the developments of the Levi (Hartogs' Inverse) Problem together with the notion of coherence and its solution, shedding light on some rec…
An application of the value distribution theory for semi-abelian varieties to problems of Ax-Lindemann and Manin-Mumford types
Junjiro Noguchi
The aim of this paper is to prove a theorem of Ax-Lindemann type for complex semi-abelian varieties as an application of a big Picard theorem proved by the author in 1981, and then…