Research for the spaces with actions of algebraic groups or Weyl groups

具有代数群或Weyl群作用的空间的研究

• 批准号: 11640043
• 负责人: SEKIGUCHI Jiro
• 金额: $ 1.92万
• 依托单位: Himeji Institute of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640043/
• 关键词: cross ratio; modular form; nilpotent orbit; canonical curve; 2-bundle; affin surface; Jacobian conjecture; electrodynamics; 2-buridle; electro dynonrics; 単純リー環; ベキ零軌道; 対称対; 正20面体; コード理論

1. J.Sekiguchi studied the closure ordering of adjoint nilpotent orbits in so(p, q). This research is a joint work with D.Z.Djokovic and N.Lemire and is to appear in Tohoku Math.J.2. J.Sekiguchi studied solutions of the homogenization of the icosahedral equation introduced by F.Klein. This research is a joint work with E.Bannai, M.Koike and A.Munemasa. A partial result is to appear in Advanced Studies in Pure Math.3. T.Fujiwara studied the "nef" condition for 2-bundles constructed by the projectified canonical curves in P^3(C).4. K.Masuda studied the following. Let X be an algebraic surface with A^1_*-fibration defined over C and let ψ be an etale endomorphism of X.Then she showed that ψ becomes an automorphism in several cases. This research is a joint work with M.Miyanishi and is to appear in Math. Annalen.5. T.Fukui studied wave propagation in linear electrodynamics with Y.N.Obukhov and G.F.Rubilar and the result is to appear in Physical Reviews D.

1.J.Sekiguchi研究了SO(p，q)中伴随幂零轨道的闭包序。这项研究是与D.Z.Djokovic和N.Lemire共同完成的，并将发表在东北数学杂志上。J.Sekiguchi研究了F.Klein提出的二十面体方程的齐次化的解。这项研究是与E.Bannai、M.Koike和A.Munemasa共同完成的。部分结果将出现在《纯数学高级研究》上。T.Fujiwara研究了由P^3(C)中的射影正则曲线构成的2-丛的“nef”条件。K.Masuda研究了以下内容。设X是定义在C上的具有A^1_*-纤维的代数曲面，ψ是X的最终自同态，然后证明了ψ在几种情况下成为自同构。这项研究是与M.Miyanishi共同完成的，将发表在《数学》杂志上。安娜伦。T.Fukui与Y.N.Obukhov和G.F.Rubilar研究了线性电动力学中的波传播，结果发表在物理评论D.

项目成果

E.Bannai,M.Koike,A.Munemasa and J.Sekiguchi: "Some results on modular forms"To appear in Advanced Studies in Pure Mathematics.

E.Bannai、M.Koike、A.Munemasa 和 J.Sekiguchi：“模形式的一些结果”出现在纯数学高级研究中。

J.Sekiguchi: "Configurations of seven lines on the real projective plane and the root system of type E_7"Journal of Mathematical Society of Japan. 51. 987-1013 (1999)

J.Sekiguchi：“实射影平面上的七条线的配置和E_7型根系”日本数学会杂志。

J.Sekiguchi: "Cross ratio varieties for root systems II."Kyushu Math.. vol.54. 7-37 (2000)

J.Sekiguchi：“根系交叉比品种II”。九州数学..第54卷。

T.Usa: "Notes on formulae for Ogus derivations."Rpt.Sci.H.I.T.. vol.10. 1-15 (1999)

T.Usa：“Ogus 推导公式注释”。Rpt.Sci.H.I.T.. vol.10。

T.Usa: "2-bundles constructedfrom projected canonical curves in p3(C)"Rpt.Sci.H.I.T.. 11. 1-10 (2000)

T.Usa：“根据 p3(C) 中的投影规范曲线构建的 2-bundles”Rpt.Sci.H.I.T.. 11. 1-10 (2000)