Tokyo Journal of Mathematics最新文献

筛选
英文 中文
On the Structure of the Galois Group of the Maximal Pro-$p$ Extension with Restricted Ramification over the Cyclotomic $mathbb{Z}_p$-extension 关于环原子$mathbb上具有限制分支的极大Pro-$p$扩张的Galois群的结构{Z}_p$-扩展
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2018-10-24 DOI: 10.3836/TJM/1502179301
T. Itoh
{"title":"On the Structure of the Galois Group of the Maximal Pro-$p$ Extension with Restricted Ramification over the Cyclotomic $mathbb{Z}_p$-extension","authors":"T. Itoh","doi":"10.3836/TJM/1502179301","DOIUrl":"https://doi.org/10.3836/TJM/1502179301","url":null,"abstract":"Let $k_infty$ be the cyclotomic $mathbb{Z}_p$-extension of an algebraic number field $k$. We denote by $S$ a finite set of prime numbers which does not contain $p$, and $S(k_infty)$ the set of primes of $k_infty$ lying above $S$. In the present paper, we will study the structure of the Galois group $mathcal{X}_S (k_infty)$ of the maximal pro-$p$ extension unramified outside $S (k_infty)$ over $k_infty$. We mainly consider the question whether $mathcal{X}_S (k_infty)$ is a non-abelian free pro-$p$ group or not. In the former part, we treat the case when $k$ is an imaginary quadratic field and $S = emptyset$ (here $p$ is an odd prime number which does not split in $k$). In the latter part, we treat the case when $k$ is a totally real field and $S neq emptyset$.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48658246","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On a Rationality Problem for Fields of Cross-ratios 关于交叉比域的一个合理性问题
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2018-06-29 DOI: 10.3836/TJM/1502179305
Z. Reichstein
{"title":"On a Rationality Problem for Fields of Cross-ratios","authors":"Z. Reichstein","doi":"10.3836/TJM/1502179305","DOIUrl":"https://doi.org/10.3836/TJM/1502179305","url":null,"abstract":"Let k be a field, x1, . . . , xn be independent variables and Ln = k(x1, . . . , xn). The symmetric group Σn acts on Ln by permuting the variables, and the projective linear group PGL2 acts by","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70165705","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the Unique Solvability of Nonlinear Fuchsian Partial Differential Equations 非线性Fuchsian偏微分方程的唯一可解性
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2018-06-01 DOI: 10.3836/TJM/1502179268
Dennis B. Bacani, J. Lope, H. Tahara
{"title":"On the Unique Solvability of Nonlinear Fuchsian Partial Differential Equations","authors":"Dennis B. Bacani, J. Lope, H. Tahara","doi":"10.3836/TJM/1502179268","DOIUrl":"https://doi.org/10.3836/TJM/1502179268","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44457936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On the Non-existence of Static Pluriclosed Metrics on Non-Kähler Minimal Complex Surfaces 关于非Kähler极小复曲面上静态复数度量的不存在性
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2018-06-01 DOI: 10.3836/TJM/1502179255
Masaya Kawamura
{"title":"On the Non-existence of Static Pluriclosed Metrics on Non-Kähler Minimal Complex Surfaces","authors":"Masaya Kawamura","doi":"10.3836/TJM/1502179255","DOIUrl":"https://doi.org/10.3836/TJM/1502179255","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49373806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Asymptotic Behavior of Solutions to the One-dimensional Keller-Segel System with Small Chemotaxis 具有小趋化性的一维Keller-Segel系统解的渐近性
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2018-06-01 DOI: 10.3836/TJM/1502179267
Yumi Yahagi
{"title":"Asymptotic Behavior of Solutions to the One-dimensional Keller-Segel System with Small Chemotaxis","authors":"Yumi Yahagi","doi":"10.3836/TJM/1502179267","DOIUrl":"https://doi.org/10.3836/TJM/1502179267","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41762649","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On the Semi-simple Case of the Galois Brumer-Stark Conjecture for Monomial Groups 关于单调群的Galois-Brumer-Stark猜想的半简单情形
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2018-06-01 DOI: 10.3836/TJM/1502179243
Xavier-François Roblot
{"title":"On the Semi-simple Case of the Galois Brumer-Stark Conjecture for Monomial Groups","authors":"Xavier-François Roblot","doi":"10.3836/TJM/1502179243","DOIUrl":"https://doi.org/10.3836/TJM/1502179243","url":null,"abstract":"In a previous work, we stated a conjecture, called the Galois Brumer-Stark conjecture, that generalizes the (abelian) Brumer-Stark conjecture to Galois extensions. Other generalizations of the Brumer-Stark conjecture to non-abelian Galois extensions are due to Nickel. Nomura proved that the Brumer-Stark conjecture implies the weak non-abelian Brumer-Stark conjecture of Nickel when the group is monomial. In this paper, we use the methods of Nomura to prove that the Brumer-Stark conjecture implies the Galois Brumer-Stark conjecture for monomial groups in the semi-simple case.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41402922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A Diffusion Process with a Random Potential Consisting of Two Contracted Self-Similar Processes 由两个收缩自相似过程组成的随机势扩散过程
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2018-06-01 DOI: 10.3836/TJM/1502179248
Yukiharu Suzuki
{"title":"A Diffusion Process with a Random Potential Consisting of Two Contracted Self-Similar Processes","authors":"Yukiharu Suzuki","doi":"10.3836/TJM/1502179248","DOIUrl":"https://doi.org/10.3836/TJM/1502179248","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44024585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Symmetric Spaces Associated to Classical Groups with Even Characteristic 偶特征经典群的对称空间
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2018-05-23 DOI: 10.3836/tjm/1502179368
Junbin Dong, T. Shoji, Gao Yang
{"title":"Symmetric Spaces Associated to Classical Groups with Even Characteristic","authors":"Junbin Dong, T. Shoji, Gao Yang","doi":"10.3836/tjm/1502179368","DOIUrl":"https://doi.org/10.3836/tjm/1502179368","url":null,"abstract":"Let $G = GL(V)$ for an N-dimensional vector space $V$ over an algebraically closed field k, and $G^{theta}$ the fixed point subgroup of $G$ under an involution $theta$ on $G$. In the case where $G^{theta} = O(V)$, the generalized Springer correspondence for the unipotent variety of the symmetric space $G/G^{theta}$ was studied by last two authors, under the assumption that ch k is odd. The definition of $theta$, and of the associated symmetric space given there make sense even if ch k = 2. In this paper, we discuss the Springer correspondence for those symmetric spaces of even characteristic. We show that if N is even, the Springer correspondence is reduced to that of symplectic Lie algebras in ch k = 2, which was determined by Xue. While if N is odd, we show that a very similar phenomenon as in the case of exotic symmetric space of level 3 appears.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42095884","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Singular Locus of an Almost Distance Function 概距离函数的奇异轨迹
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2018-03-12 DOI: 10.3836/TJM/1502179298
Minoru Tanaka
{"title":"The Singular Locus of an Almost Distance Function","authors":"Minoru Tanaka","doi":"10.3836/TJM/1502179298","DOIUrl":"https://doi.org/10.3836/TJM/1502179298","url":null,"abstract":"The aim of this article is to generalize the notion of the cut locus and to get the structure theorem for it. For this purpose, we first introduce a class of 1-Lipschitz functions, each member of which is called an {it almost distance function}. Typical examples of an almost distance function are the distance function from a point and the Busman function on a complete Riemannian manifold. The generalized notion of the cut locus in this paper is called the {it singular locus} of an almost distance function. The singular locus consists of the upper one and the lower one. The upper singular locus coincides with the cut locus of a point for the distance function from the point, and the lower singular locus coincides with the set of all copoints of a ray when the almost distance function is the Busman function of the ray. Therefore, it is possible to treat the cut locus of a closed subset and the set of copoints of a ray in a unified way by introducing the singular locus for the almost distance function. In this article, we obtain the structure theorem (Theorem B) for the singular locus of an almost distance function on a 2-dimensional Finsler manifold that contains both structure theorems ([S], Theorem B) and [Sa,Theorem 2.13]) for the cut locus and the set of copoints of a ray as a corollary.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41357041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Quasi-isometric Embeddings from Generalised Thompson’s Groups to Thompson’s Group T 广义Thompson群到Thompson群T的拟等距嵌入
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2018-03-02 DOI: 10.3836/tjm/1502179371
Xiaobing Sheng
{"title":"Quasi-isometric Embeddings from Generalised Thompson’s Groups to Thompson’s Group T","authors":"Xiaobing Sheng","doi":"10.3836/tjm/1502179371","DOIUrl":"https://doi.org/10.3836/tjm/1502179371","url":null,"abstract":"Brown has defined the generalised Thompson's group $F_n$, $T_n$, where $n$ is an integer at least $2$ and Thompson's groups $F= F_2$ and $T =T_2$ in the 80's. Burillo, Cleary and Stein have found that there is a quasi-isometric embedding from $F_n$ to $F_m$ where $n$ and $m$ are positive integers at least 2. We show that there is a quasi-isometric embedding from $T_n$ to $T_2$ for any $n geq 2$ and no embeddings from $T_2$ to $T_n$ for $n geq 3$.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2018-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46696067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信