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On Birational Geometry of Algebraic Varieties

On Birational Geometry of Algebraic Varieties
论代数簇的双有理几何
批准号:
07454003
负责人:
SAKAI Fumio
金额:
$4.16万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (B)
财政年份:
1995
资助国家:
日本
项目状态:
已结题
起止时间:
1995 至 1996

项目摘要

项目成果

SAKAI Fumio的其他基金

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中文摘要
翻译
Sakai把Zarishi关于射影平面的循环覆盖的定理推广到代数曲面的循环覆盖上,假设覆盖的次数是素数的幂,并且分支是可约的. Okumura得到了复射影算子的CR-子群是奇数维球面的积的一个充分条件,Takeuchi对模群SL_2(TS)中具有符号(o ; e_1,e_2,e_3)的所有模子群G进行了分类。此外,他还给出了矩阵的形式。小池考虑了贝尔方程的解。Egashira研究了紧致流形上的C^2-类codime-one叶理化。
英文摘要
Sakai generalizel Zarishi's theorem on cyolic coverings of the projective plane to the cyclic coveings of algebraic surfaces under the hyposhesis that the degree of the covering's a power of a prime number and the Branch euwe could be reducible. He also improve an estimate of the total Milnor member of plane cuwes with simple singulinties.Okumura obtained a sufficient condition which guaranties that a CR-submeniforld of a complex projective opere is a product of odd dimensional sphers.Takeuchi classified all moduler subgroups G of the modular group SL_2 (TS) which has signatine (o ; e_1, e_2, e_3). Moreour, he gave the matrix forms.Koike considored the solution of a Bell monequotion. He obtoineda sufficient condition for the uniqueness of the solution.Egashira studied C^2-class codimeusion one foliatiation on a compact monifold.
期刊论文(5)
专著(0)
科研奖励(0)
会议论文
S. Egashira: "Expansion groth of smooth codimension-one foliations" J. Math. Soc. Japan. 48. 109-123 (1996)
S. Egashira:“光滑余维一叶状结构的膨胀增长”J. Math。
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通讯作者:
Sakai, F.: "Generaligation of Zariski's theorem on the inegularity of cyclic coverings" Proc.Conference (T.I.T). 99-102 (1996)
Sakai, F.:“Zariski 循环覆盖不规则性定理的概括”Proc.Conference (T.I.T)。
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通讯作者:
Sakai, F.: "The inegulenty of cyclic coverings and singularities of plane cuwes" Proc.Conference (Saitama Univ.). 118-132 (1996)
Sakai, F.:“平面立方体的循环覆盖和奇点的不恰当性”Proc.Conference(埼玉大学)。
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通讯作者:
K.Takeuchi: "Subgroups of the modulargroups with signeture(o;e_1,e_2,e_3)" Saitoma Math,J.14. 55-78 (1996)
K.Takeuchi:“带有签名的模群的子群(o;e_1,e_2,e_3)”Saitoma Math,J.14。
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通讯作者:
On the gonality of plane algebraic curves
  • 批准号:
    15K04806
  • 项目类别:
    Grant-in-Aid for Scientific Research (C)
  • 资助金额:
    $2.91万
  • 财政年份:
    2015
  • 负责人:
    SAKAI Fumio
  • 依托单位:
The geometry of higher Weierstrass points and moduli spaces of plane algebraic curves
  • 批准号:
    23540041
  • 项目类别:
    Grant-in-Aid for Scientific Research (C)
  • 资助金额:
    $3.24万
  • 财政年份:
    2011
  • 负责人:
    SAKAI Fumio
  • 依托单位:
On rational functions and singularities of plane algebraic curves
  • 批准号:
    20540038
  • 项目类别:
    Grant-in-Aid for Scientific Research (C)
  • 资助金额:
    $2.75万
  • 财政年份:
    2008
  • 负责人:
    SAKAI Fumio
  • 依托单位:
Geometry of plane algebraic curves
  • 批准号:
    15540007
  • 项目类别:
    Grant-in-Aid for Scientific Research (C)
  • 资助金额:
    $2.18万
  • 财政年份:
    2003
  • 负责人:
    SAKAI Fumio
  • 依托单位:
海外基金