权益分类	功能权益	普通用户	{{item.name}}会员
{{category.name}}	{{benefitItem.name}}

Integrated Study of Complex Analytic Structure

复杂解析结构的综合研究

基本信息

批准号：
13304009
负责人：
NOGUCHI Junjiro
金额：
$ 37.86万
依托单位：
The University of Tokyo
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (A)
财政年份：
2001
资助国家：
日本
起止时间：
2001 至 2004
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13304009/
关键词：
several complex variables geometric complex analysis Kobayashi hyperbolic manifold value distribution pseudoconvex domain moduli space complex dynamics Teichmuller space

项目摘要

In the first year 2001 of this research program Memorial Conference of Kiyoshi Oka's Centennial Birthday on Complex Analysis in Several Variables, Kyoto/Nara 2001, October 30-November 5,Kyoto/November 6-8,Nara, was held mainly under the sponsorship of the present fund. A number of celebrated mathematicians in complex analysis in several variables participated in it and it was a great outcome that the works on this subject in Japan showed the highest level of research. Through the exchanges of latest research information and ideas the approach of this program was reconfirmed. The results were so ample that the obtained information have played important roles all through this project, and the proceedings was published from Mathematical Society of Japan by the support of this research fund.The main subject of the present research program is "Complex Analytic Structure", especially Nevanlinna theory in several variables, pseudoconvex domains, complex manifold theory,..., etc. The present r … More esearch has been executed by investigators attached to the research themes joint with research cooperators. All the research results were summarized by the representative investigator.There are many excellent results obtained through the present project and the following are only partial ones : Establishing the second main theorem for holomorphic curves into semi-abelian varieties in the best form ; the second main theorem for meromorphic functions as targets best refined the Nevanlinna conjecture ; a construction of Kobayashi hyperbolic projective hypersurfaces satisfying the arithmetic finiteness property; uniformization theorems for C^κ×(C^*)^l, C^κ×B^l by automorphism groups ; the contraction theorem in the renormalization of one-dimensional complex dynamics ; further refinement of L^2-extension theorem of holomorphic functions in strongly pseudoconvex domains that have important applications ; (lowersemi-) continuity of plurigenera for family of algebraic varieties ; More advanced Kuranishi program ; Holder continuity of Dirichlet solutions for Holder continuous boundary functions and the non-existence of domains preserving Lipschitz continuity. Less

在该研究计划的第一年，2001年京都/奈良，2001年10月30日至11月5日，京都/奈良，大贺清史百年诞辰关于复变分析的纪念会议主要是在本基金的赞助下举行的。许多著名的复变数分析数学家参与了这项研究，日本对这一主题的研究成果达到了最高水平，这是一个伟大的结果。通过交流最新的研究信息和想法，这一方案的方法再次得到确认。本课题的主要研究课题是《复杂解析结构》，特别是多变量的奈万林纳理论、伪凸域理论、复流形理论等。目前的r…与研究合作者合作的研究主题的调查人员进行了更多的研究。本课题取得了许多优秀的结果，但仅有部分结果：建立了全纯曲线为最佳形式的半交换变种的第二主要定理；以亚纯函数为目标的第二主要定理最好地改进了内万林纳猜想；构造了满足算术有限性质的小林双曲射影超曲面；C^κ×(C^*)、L、C^κ×B^L的自同构群的一致化定理；一维复动力学的重整化中的压缩定理；具有重要应用的强伪凸域上全纯函数的L^2-扩张定理的进一步改进；代数族的(下半)连续性；更高级的Kuranishi规划；Holder连续边界函数Dirichlet解的Holder连续性；保持Lipschitz连续性的区域的不存在性。较少

项目成果

期刊论文数量（973）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

A Hahn-Banach extension theorem for entire functions of nuclear type

核型全部函数的Hahn-Banach扩展定理

DOI：
发表时间：
2004
期刊：
J.Korean Math.Soc. 41
影响因子：
0
作者：
Akira SASAMOTO;Takayuki SUZUKI;Yoshihiro NISHIMURA;海津聰;藤間昌一;笹本明;Satoshi Kaizu;笹本明;川添良幸;Takahito Nishiyama;Takahiro Nishiyama;Takahiro Nishiyama;後藤ミドリ;Takahiro Nishiyama;西原賢;西山高弘;西山高弘;西原賢
通讯作者：
西原賢

Deficiency for meromorphic solutions of the Schr"oder equations

施罗德方程亚纯解的不足