Iwasawa theory of Harse zeta functions
Iwasawa theory of Harse zeta functions
批准号:
11440003
负责人:
KATO Kazuya
金额:
$6.59万
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (B)
财政年份:
1999
资助国家:
日本
项目状态:
已结题
起止时间:
1999 至 2001
中文摘要
点击翻译按钮获取中文摘要
英文摘要
Concerning Iwasawa theory of moduar forms, I completed the preprint "p-adic Hoclge theory and values of zeta funcions of moduar forms" (244 pages). In this paper, I proved the half of Iwasawa main conjecture for modular forms. (Half means one 【less than or equal】 in the conjecture which has the form of the equality "zeta side"="arithmetic group side.)As an application I obtained results on BSD confectures on elliptic curves over rational number field.Concerning BSD 'cong' for abelian varieties over global fields of poeetre characteristic, I proved it assuming the fimteness of Take-Shaturevich group (with F. Trihen).I proved Blocn's conductor formula by the joint work with Takeshi Saito, This is related also to Harse zeta functions.I obtained results on log Hodge theory and on log abelian varieties by using the method of log geometry.
期刊论文(22)
专著(0)
科研奖励(0)
会议论文
登录
查看更多内容
Kazuya Kato: "Bloch's conductor formula"Proc. Jangjeon Math. Soc. 1. 1. 91-95 (2000)
加藤和也:“布洛赫的指挥公式”Proc。
DOI:
--
发表时间:
期刊:
影响因子:
--
作者:
[]
通讯作者:
Kazuya Kato, Sampei Usui: "Borel-Serre spaces and spaces of SL(2)-orbits"Advanced Studies in Pure Math. (to appear).
Kazuya Kato、Sampei Usui:“Borel-Serre 空间和 SL(2) 轨道空间”纯数学高级研究。
DOI:
--
发表时间:
期刊:
影响因子:
--
作者:
[]
通讯作者:
Kazuya Kato, Toshiharu Matsubara, Chikara Nakayama: "Log C^∞ functions and degencvation of Hodge structures"Advanced Studies in Pure Math. (発表予定).
Kazuya Kato、Toshiharu Matsubara、Chikara Nakayama:“Log C^∞ 函数和 Hodge 结构的退化”纯数学高级研究(待提交)。
DOI:
--
发表时间:
期刊:
影响因子:
--
作者:
[]
通讯作者:
Kazuya Kato,Chikara Nakayama: "Log Betti cohomology,log etale cohomology,and log de Rham cohomology of log Schemes over C"Kodai Math.J. 22. 161-186 (1999)
Kazuya Kato、Chikara Nakayama:“C 上的对数方案的 Log Betti 上同调、log etale 上同调和 log de Rham 上同调”Kodai Math.J。
DOI:
--
发表时间:
期刊:
影响因子:
--
作者:
[]
通讯作者:
Kazuya Kato: "Euler systems, Iwasawa theory and Selmer groups"Kodai Math J.. 22. 313-372 (1999)
加藤和也:“欧拉系统、岩泽理论和塞尔默群”Kodai Math J.. 22. 313-372 (1999)
DOI:
--
发表时间:
期刊:
影响因子:
--
作者:
[]
通讯作者:
共 17 条
Non-commutative I wa sawa theory
-
批准号:16340005
-
项目类别:Grant-in-Aid for Scientific Research (B)
-
资助金额:$8.93万
-
财政年份:2004
-
负责人:KATO Kazuya
-
依托单位:
Degeneration of algebraic varieties and log geometry
-
批准号:14340010
-
项目类别:Grant-in-Aid for Scientific Research (B)
-
资助金额:$2.56万
-
财政年份:2002
-
负责人:KATO Kazuya
-
依托单位:
EFFECT OF HEPATOCELLULAR TRANSPLANTATION VIA UMBICAL VEIN IN FETAL RATS OF CONGENITAL METABOLIC DISEASE
-
批准号:06671175
-
项目类别:Grant-in-Aid for General Scientific Research (C)
-
资助金额:$1.22万
-
财政年份:1994
-
负责人:KATO Kazuya
-
依托单位: