找回密码
 To register

QQ登录

只需一步,快速开始

扫一扫,访问微社区

Titlebook: Basic Oka Theory in Several Complex Variables; Junjiro Noguchi Textbook 2024 The Editor(s) (if applicable) and The Author(s), under exclus

[复制链接]
查看: 30427|回复: 36
发表于 2025-3-21 16:12:17 | 显示全部楼层 |阅读模式
期刊全称Basic Oka Theory in Several Complex Variables
影响因子2023Junjiro Noguchi
视频video
发行地址Serves as a textbook in lecture courses of function theory of several complex variables right after one variable.Is based on Oka’s first coherence theorem and the Joku-Iko Principle.Proves Levi‘s prob
学科分类Universitext
图书封面Titlebook: Basic Oka Theory in Several Complex Variables;  Junjiro Noguchi Textbook 2024 The Editor(s) (if applicable) and The Author(s), under exclus
影响因子.This book provides a new, comprehensive, and self-contained account of Oka theory as an introduction to function theory of several complex variables, mainly concerned with the Three Big Problems (Approximation, Cousin, Pseudoconvexity) that were solved by Kiyoshi Oka and form the basics of the theory. The purpose of the volume is to serve as a textbook in lecture courses right after complex function theory of one variable. The presentation aims to be readable and enjoyable both for those who are beginners in mathematics and for researchers interested in complex analysis in several variables and complex geometry...The nature of the present book is evinced by its approach following Oka’s unpublished five papers of 1943 with his guiding methodological principle termed the “Joku-Iko Principle”, where historically the Pseudoconvexity Problem (Hartogs, Levi) was first solved in all dimensions, even for unramified Riemann domains as well...The method that is used in the book is elementary and direct, not relying on the cohomology theory of sheaves nor on the .L.2-∂-bar method, but yet reaches the core of the theory with the complete proofs...Two proofs for Levi’s Problem are provided: On
Pindex Textbook 2024
The information of publication is updating

书目名称Basic Oka Theory in Several Complex Variables影响因子(影响力)




书目名称Basic Oka Theory in Several Complex Variables影响因子(影响力)学科排名




书目名称Basic Oka Theory in Several Complex Variables网络公开度




书目名称Basic Oka Theory in Several Complex Variables网络公开度学科排名




书目名称Basic Oka Theory in Several Complex Variables被引频次




书目名称Basic Oka Theory in Several Complex Variables被引频次学科排名




书目名称Basic Oka Theory in Several Complex Variables年度引用




书目名称Basic Oka Theory in Several Complex Variables年度引用学科排名




书目名称Basic Oka Theory in Several Complex Variables读者反馈




书目名称Basic Oka Theory in Several Complex Variables读者反馈学科排名




单选投票, 共有 0 人参与投票
 

0票 0%

Perfect with Aesthetics

 

0票 0%

Better Implies Difficulty

 

0票 0%

Good and Satisfactory

 

0票 0%

Adverse Performance

 

0票 0%

Disdainful Garbage

您所在的用户组没有投票权限
发表于 2025-3-21 21:23:06 | 显示全部楼层
https://doi.org/10.1007/4-431-28055-3and then prove the coherence of ideal sheaves of complex submanifolds (a special case of Oka’s Second Coherence Theorem). We then prove Cartan’s Merging Lemma, the Oka Syzygy for coherent sheaves, and the Oka Extension of the Joku-Iko Principle, which is the key to Oka Theory.
发表于 2025-3-22 02:41:06 | 显示全部楼层
发表于 2025-3-22 06:44:10 | 显示全部楼层
https://doi.org/10.1007/4-431-28055-3the results obtained previously, but the path is yet long. Here, introducing the notion of plurisubharmonic (or pseudoconvex) functions, we formulate the Pseudoconvexity Problems and discuss their relations.
发表于 2025-3-22 11:45:33 | 显示全部楼层
发表于 2025-3-22 16:46:18 | 显示全部楼层
Basic Oka Theory in Several Complex Variables978-981-97-2056-9Series ISSN 0172-5939 Series E-ISSN 2191-6675
发表于 2025-3-22 20:37:15 | 显示全部楼层
发表于 2025-3-22 23:44:35 | 显示全部楼层
https://doi.org/10.1007/4-431-28055-3and then prove the coherence of ideal sheaves of complex submanifolds (a special case of Oka’s Second Coherence Theorem). We then prove Cartan’s Merging Lemma, the Oka Syzygy for coherent sheaves, and the Oka Extension of the Joku-Iko Principle, which is the key to Oka Theory.
发表于 2025-3-23 04:06:18 | 显示全部楼层
发表于 2025-3-23 07:45:21 | 显示全部楼层
https://doi.org/10.1007/978-981-97-2056-9Levi problem; Oka theory; complex variables; Oka’s First Coherence Theorem; pseudcoconvex; Cousin problem
 关于派博传思  派博传思旗下网站  友情链接
派博传思介绍 公司地理位置 论文服务流程 影响因子官网 SITEMAP 大讲堂 北京大学 Oxford Uni. Harvard Uni.
发展历史沿革 期刊点评 投稿经验总结 SCIENCEGARD IMPACTFACTOR 派博系数 清华大学 Yale Uni. Stanford Uni.
|Archiver|手机版|小黑屋| 派博传思国际 ( 京公网安备110108008328) GMT+8, 2025-6-11 06:15
Copyright © 2001-2015 派博传思   京公网安备110108008328 版权所有 All rights reserved
快速回复 返回顶部 返回列表