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Tokyo Journal of Mathematics最新文献

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Indices of Some Meromorphic Functions of Degree 3 on Tori Tori上一些3次亚纯函数的指数
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.3836/tjm/1502179375
Sarenhu
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引用次数: 0
Curvature Invariants of Equivariant Isometric Minimal Immersions into Grassmannian Manifolds Grassman流形中等变等距极小浸入的曲率不变量
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.3836/tjm/1502179381
Shota Morii
{"title":"Curvature Invariants of Equivariant Isometric Minimal Immersions into Grassmannian Manifolds","authors":"Shota Morii","doi":"10.3836/tjm/1502179381","DOIUrl":"https://doi.org/10.3836/tjm/1502179381","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44356431","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
Algebraic Independence of the Values of Power Series and Their Derivatives Generated by Linear Recurrence 线性递归生成幂级数及其导数值的代数独立性
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.3836/tjm/1502179362
Haruki Ide, Taka-aki Tanaka, Kento Toyama
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引用次数: 0
Ideal Class Groups of Number Fields and Bloch-Kato's Tate-Shafarevich Groups for Symmetric Powers of Elliptic Curves 椭圆曲线对称幂的数域理想类群与Bloch-Kato的state - shafarevich群
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.3836/tjm/1502179361
Naoto Dainobu
{"title":"Ideal Class Groups of Number Fields and Bloch-Kato's Tate-Shafarevich Groups for Symmetric Powers of Elliptic Curves","authors":"Naoto Dainobu","doi":"10.3836/tjm/1502179361","DOIUrl":"https://doi.org/10.3836/tjm/1502179361","url":null,"abstract":". For an elliptic curve E over Q , putting K = Q ( E [ p ]) which is the p -th division field of E for an odd prime p , we study the ideal class group Cl K of K as a Gal( K/ Q ) -module. More precisely, for any j with 1 6 j 6 p − 2 , we give a condition that Cl K ⊗ F p has the symmetric power Sym j E [ p ] of E [ p ] as its quotient Gal( K/ Q ) -module, in terms of Bloch-Kato’s Tate-Shafarevich group of Sym j V p E . Here V p E denotes the rational p -adic Tate module of E . This is a partial generalization of a result of Prasad and Shekhar for the case j = 1 .","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47349621","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
Moduli of Stable Sheaves on a K3 Surface of Picard Number 1 Picard数1的K3曲面上稳定滑轮的模
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.3836/tjm/1502179369
Akira Mori, K. Yoshioka
{"title":"Moduli of Stable Sheaves on a K3 Surface of Picard Number 1","authors":"Akira Mori, K. Yoshioka","doi":"10.3836/tjm/1502179369","DOIUrl":"https://doi.org/10.3836/tjm/1502179369","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43226416","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
Classifications of Prime Ideals and Simple Modules of the Weyl Algebra $A_1$ in Prime Characteristic Weyl代数$A_1$的素理想和单模在素特征中的分类
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.3836/tjm/1502179377
V. Bavula
{"title":"Classifications of Prime Ideals and Simple Modules of the Weyl Algebra $A_1$ in Prime Characteristic","authors":"V. Bavula","doi":"10.3836/tjm/1502179377","DOIUrl":"https://doi.org/10.3836/tjm/1502179377","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42799759","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
On Finite Type Invariants of Welded String Links and Ribbon Tubes 焊接串链和带状管的有限型不变量
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.3836/tjm/1502179380
Adrien Casejuane, Jean-Baptiste Meilhan
{"title":"On Finite Type Invariants of Welded String Links and Ribbon Tubes","authors":"Adrien Casejuane, Jean-Baptiste Meilhan","doi":"10.3836/tjm/1502179380","DOIUrl":"https://doi.org/10.3836/tjm/1502179380","url":null,"abstract":"Welded knotted objects are a combinatorial extension of knot theory, which can be used as a tool for studying ribbon surfaces in 4-space. A finite type invariant theory for ribbon knotted surfaces was developped by Kanenobu, Habiro and Shima, and this paper proposes a study of these invariants, using welded objects. Specifically, we study welded string links up to wk-equivalence, which is an equivalence relation introduced by Yasuhara and the second author in connection with finite type theory. In low degrees, we show that this relation characterizes the information contained by finite type invariants. We also study the algebraic structure of welded string links up to wk-equivalence. All results have direct corollaries for ribbon knotted surfaces.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45537971","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
Reconstruction of the Defect by the Enclosure Method for Inverse Problems of the Magnetic Schrödinger Operator 磁性Schrödinger算子逆问题的包体法缺陷重构
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.3836/tjm/1502179363
K. Kurata, Ryusei Yamashita
{"title":"Reconstruction of the Defect by the Enclosure Method for Inverse Problems of the Magnetic Schrödinger Operator","authors":"K. Kurata, Ryusei Yamashita","doi":"10.3836/tjm/1502179363","DOIUrl":"https://doi.org/10.3836/tjm/1502179363","url":null,"abstract":"This study is based on the paper [1]. We give the formula to extract the position and the shape of the defect D generated in the object (conductor) Ω from the observation data on the boundary ∂Ω for the magnetic Schrödinger operator by using the enclosure method proposed by Ikehata [2]. We show a reconstruction formula of the convex hull of the defect D from the observed data, assuming certain higher regularity for the potentials of the magnetic Schrödinger operator, under the Dirichlet condition or the Robin condition on the boundary ∂D in the two and three dimensional case. Let Ω ⊂ R(n = 2, 3) be a bounded domain where the boundary ∂Ω is C and let D be an open set satisfying D ⊂ Ω and Ω D is connected. The defect D consists of the union of disjoint bounded domains {Dj}j=1, where the boundary of D is Lipschitz continuous. First, we define the DN map for the magnetic Schrödinger equation with no defect D in Ω. Here, let D Au := ∑n j=1 DA,j(DA,ju), where DA,j := 1 i ∂j +Aj and A = (A1, A2, · · · , An). Definition 1. Suppose q ∈ L∞(Ω), q ≥ 0, A ∈ C(Ω, R). For a given f ∈ H(∂Ω), we say u ∈ H(Ω) is a weak solution to the following boundary value problem for the magnetic Schrödinger equation { D Au+ qu = 0 in Ω, u = f on ∂Ω, (1.1)","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46564749","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 Generalization of Monge–Ampère Equations and Monge–Ampère Systems 蒙日-安培方程及蒙日-安培系统的推广
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.3836/tjm/1502179374
M. Kawamata, K. Shibuya
{"title":"On a Generalization of Monge–Ampère Equations and Monge–Ampère Systems","authors":"M. Kawamata, K. Shibuya","doi":"10.3836/tjm/1502179374","DOIUrl":"https://doi.org/10.3836/tjm/1502179374","url":null,"abstract":"We discuss Monge-Ampère equations from the view point of differential geometry. It is known that a Monge–Ampère equation corresponds to a special exterior differential system on a 1-jet space. In this paper, we generalize Monge–Ampère equations and prove that a (k+ 1)st order generalized Monge–Ampère equation corresponds to a special exterior differential system on a k-jet space. Then its solution naturally corresponds to an integral manifold of the corresponding exterior differential system. Moreover, we verify that the Korteweg-de Vries (KdV) equation and the Cauchy–Riemann equations are examples of our equation. 2010 Mathematics Subject Classification. Primary 58A15; Secondary 58A17.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47527732","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
Virtual Knots with Properties of Kishino's Knot 具有岸野结性质的虚结
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2022-01-01 DOI: 10.3836/tjm/1502179365
Y. Ohyama, Migiwa Sakurai
{"title":"Virtual Knots with Properties of Kishino's Knot","authors":"Y. Ohyama, Migiwa Sakurai","doi":"10.3836/tjm/1502179365","DOIUrl":"https://doi.org/10.3836/tjm/1502179365","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43419315","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
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