Confluence process of differential equation and deformation of complex analytic space
Confluence process of differential equation and deformation of complex analytic space
批准号:
21654003
负责人:
ITO Koki
金额:
$2.2万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Challenging Exploratory Research
财政年份:
2009
资助国家:
日本
项目状态:
已结题
起止时间:
2009 至 2011
中文摘要
在物理、工程等领域中,我们用方程来描述自然现象或各种量之间的关系,尤其是微分方程式或差分方程式。我们研究了方程与其解之间的一些相互作用。例如,这种相互作用产生了重要的数字π。(上面的这种相互作用被称为“贝蒂结构和德拉姆结构之间的比较”或“周期”。)不同的时期出现在不同的地方,我们认为所有时期都有一个共同的框架。然而,到目前为止还没有人找到一个。因此,我们一直在摸索这个问题的答案。最后,我们找到了原型的种子。
英文摘要
Describing the natural phenomena or relationships among various quantities in such fields as physics, engineering, we use equation ; especially differential or difference equation. We study some interaction between equation and its solution. For example, such an interaction produces the important numberπ.(Such interactions as above are called"comparison between Betti structure and de Rham structure"or"period".) Various periods appear in various places, and we believe that there exists a common framework for all over the periods. However, nobody has found one yet. So, we have groped for an answer to this question. Finally, we found seeds of prototype.
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The elliptic hypergeometric functions associated to the configuration space of points on an elliptic curve I : Twisted cycles
与椭圆曲线 I 上点的配置空间相关的椭圆超几何函数:扭曲循环
DOI:
--
发表时间:
2009
期刊:
Journal of Mathematics of Kyoto University 49-4
影响因子:
--
作者:
[Ko-Ki Ito, Masahiko Yoshinaga, Ko-Ki Ito, Ko-Ki Ito, 伊藤公毅]
通讯作者:
伊藤公毅
Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements.
超平面排列的半代数划分和 Borel-Moore 同调基础。
DOI:
10.1090/s0002-9939-2011-11168-7
发表时间:
2012
期刊:
Proc. A. M. S.
影响因子:
--
作者:
[Ko-Ki Ito, Masahiko Yoshinaga]
通讯作者:
Masahiko Yoshinaga
Twisted Poi care Lemma and Twisted. ech-de Rham Isomorphism in case dimension
Twisted Poi 关心 Lemma 和 Twisted。
DOI:
10.1215/0023608x-2009-009
发表时间:
2010
期刊:
Kyoto Journal of Mathematics
影响因子:
0.6
作者:
[Ko-Ki Ito, Masahiko Yoshinaga, Ko-Ki Ito]
通讯作者:
Ko-Ki Ito
The Elliptic Hyper geometric Functions Associated to the Configuration Space of Points on an Elliptic Curve I : Twisted Cycles
与椭圆曲线上点的配置空间相关的椭圆超几何函数I:扭曲循环
DOI:
--
发表时间:
2009
期刊:
J. Math. Kyoto Univ
影响因子:
--
作者:
[Ko-Ki Ito, Masahiko Yoshinaga, Ko-Ki Ito, Ko-Ki Ito]
通讯作者:
Ko-Ki Ito
海外基金