Tokyo Journal of Mathematics最新文献

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On Congruence Relations and Equations of Shimura Curves 关于Shimura曲线的同余关系和方程
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/tjm/1502179308
A. Kurihara
{"title":"On Congruence Relations and Equations of Shimura Curves","authors":"A. Kurihara","doi":"10.3836/tjm/1502179308","DOIUrl":"https://doi.org/10.3836/tjm/1502179308","url":null,"abstract":"On a Shimura curve, the reduction modulo a prime $p$ of the Hecke correspondence $T(p)$ yields the congruence relation $PicupPi'$ with $Pi$ being the graph of the Frobenius mapping from the Shimura curve modulo $p$ to itself, and $Pi'$ its transpose. Starting with a curve $C$ of genus $g geq 2$ over $mathbb{F}_p$ together with a subset $mathfrak{S}subset C(mathbb{F}_{p^2})$, Ihara studied the liftability to characteristic $0$ of $PicupPi'$ so that $Pi$ and $Pi'$ are separated outside $mathfrak{S}$ in the lifting. In some case, Ihara obtained the uniqueness of the liftability to characteristic $0$ and gave some necessary and sufficient condition, described by some differential form on $C$, for $(C,mathfrak{S})$ to be liftable to modulo $p^2$. In this paper, in case when $C$ is defined over $mathbb{F}_{p^2}$, we compute complete tables of such $(C,{mathfrak S})$ liftable to modulo $p^2$ for $g=2$ and $3leq p leq 13$ using computer, and as an application of this uniqueness, we identify some particular Shimura curve by its equation.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46138579","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
Principal Curvatures of Homogeneous Hypersurfaces in a Grassmann Manifold $widetilde{text{Gr}}_{ 3}(text{Im}mathbb{O})$ by the $G_2$-action 利用$G_2$-作用$widetilde{text{Gr}}_{3}(text{Im}mathbb{O})$的齐次超曲面的主曲率
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/TJM/1502179291
Kanako Enoyoshi
{"title":"Principal Curvatures of Homogeneous Hypersurfaces in a Grassmann Manifold $widetilde{text{Gr}}_{ 3}(text{Im}mathbb{O})$ by the $G_2$-action","authors":"Kanako Enoyoshi","doi":"10.3836/TJM/1502179291","DOIUrl":"https://doi.org/10.3836/TJM/1502179291","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44867906","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
Compact Commutators of Calderón-Zygmund and Generalized Fractional Integral Operators with a Function in Generalized Campanato Spaces on Generalized Morrey Spaces 广义Morrey空间上广义Campanato空间中Calderón-Zygmund的紧交换子和广义分式积分算子
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/TJM/1502179285
Ryutaro Arai, E. Nakai
{"title":"Compact Commutators of Calderón-Zygmund and Generalized Fractional Integral Operators with a Function in Generalized Campanato Spaces on Generalized Morrey Spaces","authors":"Ryutaro Arai, E. Nakai","doi":"10.3836/TJM/1502179285","DOIUrl":"https://doi.org/10.3836/TJM/1502179285","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48179777","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: 12
Hopf-homoclinic Bifurcations and Heterodimensional Cycles hopf -同斜分岔和异维循环
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/TJM/1502179284
Shuntaro Tomizawa
{"title":"Hopf-homoclinic Bifurcations and Heterodimensional Cycles","authors":"Shuntaro Tomizawa","doi":"10.3836/TJM/1502179284","DOIUrl":"https://doi.org/10.3836/TJM/1502179284","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47036580","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
Coincidence Between Two Binary Recurrent Sequences of Polynomials Arising from Diophantine Triples 丢番图三元组产生的两个二元递归多项式序列的重合
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/TJM/1502179292
T. Miyazaki
{"title":"Coincidence Between Two Binary Recurrent Sequences of Polynomials Arising from Diophantine Triples","authors":"T. Miyazaki","doi":"10.3836/TJM/1502179292","DOIUrl":"https://doi.org/10.3836/TJM/1502179292","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48649820","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
A Generating Function to Generalize the Sum Formula for Quadruple Zeta Values 推广四重Zeta值和公式的生成函数
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/TJM/1502179282
T. Machide
{"title":"A Generating Function to Generalize the Sum Formula for Quadruple Zeta Values","authors":"T. Machide","doi":"10.3836/TJM/1502179282","DOIUrl":"https://doi.org/10.3836/TJM/1502179282","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45926119","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 Generalised Kummer Congruences and Higher Rank Iwasawa Theory at Arbitrary Weights 任意权值的广义Kummer同余与高阶Iwasawa理论
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/TJM/1502179304
Kwok-Wing Tsoi
{"title":"On Generalised Kummer Congruences and Higher Rank Iwasawa Theory at Arbitrary Weights","authors":"Kwok-Wing Tsoi","doi":"10.3836/TJM/1502179304","DOIUrl":"https://doi.org/10.3836/TJM/1502179304","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42364705","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
Composition in Modulus Maps on Semigroups of Continuous Functions 连续函数半群上模映射的复合
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-10-21 DOI: 10.3836/TJM/1502179334
B. Jafarzadeh, F. Sady
{"title":"Composition in Modulus Maps on Semigroups of Continuous\u0000 Functions","authors":"B. Jafarzadeh, F. Sady","doi":"10.3836/TJM/1502179334","DOIUrl":"https://doi.org/10.3836/TJM/1502179334","url":null,"abstract":"For locally compact Hausdorff spaces $X$ and $Y$, and function algebras $A$ and $B$ on $X$ and $Y$, respectively, surjections $T:A longrightarrow B$ satisfying norm multiplicative condition $|Tf, Tg|_Y =|fg|_X$, $f,gin A$, with respect to the supremum norms, and those satisfying $||Tf|+|Tg||_Y=||f|+|g||_X$ have been extensively studied. Motivated by this, we consider certain (multiplicative or additive) subsemigroups $A$ and $B$ of $C_0(X)$ and $C_0(Y)$, respectively, and study surjections $T: A longrightarrow B$ satisfying the norm condition $rho(Tf, Tg)=rho(f,g)$, $f,g in A$, for some class of two variable positive functions $rho$. It is shown that $T$ is also a composition in modulus map.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46930412","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
A Construction of Special Lagrangian Submanifolds by Generalized Perpendicular Symmetries 用广义垂直对称构造特殊拉格朗日子流形
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-07-17 DOI: 10.3836/TJM/1502179306
Akifumi Ochiai
{"title":"A Construction of Special Lagrangian Submanifolds by Generalized Perpendicular Symmetries","authors":"Akifumi Ochiai","doi":"10.3836/TJM/1502179306","DOIUrl":"https://doi.org/10.3836/TJM/1502179306","url":null,"abstract":"We show a method to construct a special Lagrangian submanifold L' from a given special Lagrangian submanifold L in a Calabi-Yau manifold with the use of generalized perpendicular symmetries. We use moment maps of the actions of Lie groups, which are not necessarily abelian. By our method, we construct some non-trivial examples in the cotangent bundles of the spheres which are non-flat Calabi-Yau manifolds equipped with the Stenzel metrics.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46316494","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
Hopf Bifurcation and Hopf-Pitchfork Bifurcation in an Integro-Differential Reaction-Diffusion System 积分微分反应扩散系统中的Hopf分支和Hopf节叉分支
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-06-01 DOI: 10.3836/TJM/1502179295
Shunsuke Kobayashi, T. Sakamoto
{"title":"Hopf Bifurcation and Hopf-Pitchfork Bifurcation in an Integro-Differential Reaction-Diffusion System","authors":"Shunsuke Kobayashi, T. Sakamoto","doi":"10.3836/TJM/1502179295","DOIUrl":"https://doi.org/10.3836/TJM/1502179295","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49570845","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
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