Special functions associated with the geometric structures on complex manifolds
Special functions associated with the geometric structures on complex manifolds
批准号:
10640072
负责人:
SATO Takeshi
金额:
$1.92万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
1998
资助国家:
日本
项目状态:
已结题
起止时间:
1998 至 2000
中文摘要
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英文摘要
We treated the moduli space A_5 of the abelian surfaces with the polarization of type (1,5). It is biratianal equivalnet to a Fano 3-fold U_<22> whichi is a equivariant compactification of some SL (2, C)-orbit.Let G_5⊂PGL (2) be the icosahedral group and PGL (2)⊂P^3 be the embedding as quadrics. Let P^^-^3 the 60-point-blow up of the 3-dimensional projective space. Then the quotient space P^^-^3/G_5×G_5 is isomorphic to the minimal resolution of the Satake compactifecation of A_5. In this case, the uniformizing differential equation of A_5 is already known.
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梅村浩: "楕円関数論"東京大学出版会. 364 (2000)
梅村浩:《椭圆函数论》东京大学出版社364(2000)。
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通讯作者:
Yoshikawa,K.: "解析的トーションとモジュライ空間上の保型形式"数学. 52. 142-158 (2000)
Yoshikawa, K.:“模空间上的解析挠率和自守形式” 数学 52. 142-158 (2000)
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H.Sato and A.Y.Yoshikawa: "Third order ordinary differential equations and Legendre connections" J.Math.Soc.Japan. 50. 993-1013 (1998)
H.Sato 和 A.Y.Yoshikawa:“三阶常微分方程和勒让德联系”J.Math.Soc.Japan。
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YOSHIKAWA,K.: "Analytic torsion and automorphic forms on the moduli spaces"Sugaku. Vol.52. 142-158 (2000)
YOSHIKAWA,K.:“模空间上的解析挠率和自守形式”Sugaku。
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KOBAYASHI,R.: "Holomorphic curves in Abelian varieties : the second main theorem and applications"Japanese Journal of Mathematics. Vol.26. 129-152 (2000)
KOBAYASHI,R.:“阿贝尔簇中的全纯曲线:第二个主要定理和应用”日本数学杂志。
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