Science-advisor
REGISTER info/FAQ
Login
username
password
     
forgot password?
register here
 
Research articles
  search articles
  reviews guidelines
  reviews
  articles index
My Pages
my alerts
  my messages
  my reviews
  my favorites
 
 
Stat
Members: 3643
Articles: 2'488'730
Articles rated: 2609

29 March 2024
 
  » arxiv » 1108.2078

 Article overview


Another Direct Proof of Oka's Theorem (Oka IX)
Junjiro Noguchi ;
Date 10 Aug 2011
AbstractIn 1953 K. Oka IX solved in first and in a final form Levi’s problem (Hartogs’ inverse problem) for domains or Riemann domains over $C^n$ of arbitrary dimension. Later on a number of the proofs were given; cf. e.g., Docquier-Grauert’s paper in 1960, R. Narasimhan’s paper in 1961/62, Gunning-Rossi’s book, and H"ormander’s book (in which the holomorphic separability is pre-assumed in the definition of Riemann domains and thus the assumption is stronger than the one in the present paper). Here we will give another direct elementary proof of Oka’s Theorem, relying only on Grauert’s finiteness theorem by the {it induction on the dimension} and the {it jets over Riemann domains}; hopefully, the proof is most comprehensive.
Source arXiv, 1108.2078
Services Forum | Review | PDF | Favorites   
 
Visitor rating: did you like this article? no 1   2   3   4   5   yes

No review found.
 Did you like this article?

This article or document is ...
important:
of broad interest:
readable:
new:
correct:
Global appreciation:

  Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

browser claudebot






ScienXe.org
» my Online CV
» Free


News, job offers and information for researchers and scientists:
home  |  contact  |  terms of use  |  sitemap
Copyright © 2005-2024 - Scimetrica