Tohoku Mathematical Journal最新文献

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Ricci flat Calabi's metric is not projectively induced Ricci平坦Calabi度量不是投影诱导的
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-12-11 DOI: 10.2748/TMJ.20191211
A. Loi, Michela Zedda, F. Zuddas
{"title":"Ricci flat Calabi's metric is not projectively\u0000 induced","authors":"A. Loi, Michela Zedda, F. Zuddas","doi":"10.2748/TMJ.20191211","DOIUrl":"https://doi.org/10.2748/TMJ.20191211","url":null,"abstract":"We show that the Ricci flat Calabi's metrics on holomorphic line bundles over compact Kaehler-Einstein manifolds are not projectively induced. As a byproduct we solve a conjecture addressed in [arXiv:1705.03908v2 [math.DG]] by proving that any multiple of the Eguchi-Hanson metric on the blow-up of C^2 at the origin is not projectively induced.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46089181","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: 7
Global existence for a system of multiple-speed wave equations violating the null condition 一类多速度波方程组在零条件下的全局存在性
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-12-07 DOI: 10.2748/tmj.20210826
K. Hidano, K. Yokoyama, Dongbing Zha
{"title":"Global existence for a system of multiple-speed wave equations violating the null condition","authors":"K. Hidano, K. Yokoyama, Dongbing Zha","doi":"10.2748/tmj.20210826","DOIUrl":"https://doi.org/10.2748/tmj.20210826","url":null,"abstract":"We discuss the Cauchy problem for a system of semilinear wave equations in three space dimensions with multiple wave speeds. Though our system does not satisfy the standard null condition, we show that it admits a unique global solution for any small and smooth data. This generalizes a preceding result due to Pusateri and Shatah. \u0000The proof is carried out by the energy method involving a collection of generalized derivatives. The multiple wave speeds disable the use of the Lorentz boost operators, and our proof therefore relies upon the version of Klainerman and Sideris. Due to the presence of nonlinear terms violating the standard null condition, some of components of the solution may have a weaker decay as $ttoinfty$, which makes it difficult even to establish a mildly growing (in time) bound for the high energy estimate. We overcome this difficulty by relying upon the ghost weight energy estimate of Alinhac and the Keel-Smith-Sogge type $L^2$ weighted space-time estimate for derivatives.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47063353","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 group-theoretic characterization of the Fock-Bargmann-Hartogs domains Fock-Bargmann-Hartogs域的群论表征
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-12-01 DOI: 10.2748/tmj/1576724794
A. Kodama
{"title":"A group-theoretic characterization of the Fock-Bargmann-Hartogs domains","authors":"A. Kodama","doi":"10.2748/tmj/1576724794","DOIUrl":"https://doi.org/10.2748/tmj/1576724794","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43194761","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
Quasi-Galois points, I: Automorphism groups of plane curves 拟伽罗瓦点,I:平面曲线的自同构群
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-12-01 DOI: 10.2748/tmj/1576724789
Satoru Fukasawa, Kei Miura, Takeshi Takahashi
{"title":"Quasi-Galois points, I: Automorphism groups of plane curves","authors":"Satoru Fukasawa, Kei Miura, Takeshi Takahashi","doi":"10.2748/tmj/1576724789","DOIUrl":"https://doi.org/10.2748/tmj/1576724789","url":null,"abstract":"Summary: We investigate the automorphism group of a plane curve, introducing the notion of a quasi-Galois point. We show that the automorphism group of several curves, for example, Klein quartic, Wiman sextic and Fermat curves, is generated by the groups associated with quasi-Galois points.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43419837","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
Compact double differences of composition operators on the Bergman spaces over the ball 球上Bergman空间上复合算子的紧二重差
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-12-01 DOI: 10.2748/tmj/1576724796
B. Choe, H. Koo, Jongho Yang
{"title":"Compact double differences of composition operators on the Bergman spaces over the ball","authors":"B. Choe, H. Koo, Jongho Yang","doi":"10.2748/tmj/1576724796","DOIUrl":"https://doi.org/10.2748/tmj/1576724796","url":null,"abstract":"Choe et. al. have recently characterized compact double differences formed by four composition operators acting on the standard weighted Bergman spaces over the disk of the complex plane. In this paper, we extend such a result to the ball setting. Our characterization is obtained under a suitable restriction on inducing maps, which is automatically satisfied in the case of the disk. We exhibit concrete examples, for the first time even for single composition operators, which shows that such a restriction is essential in the case of the ball.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42954776","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 axial curvature for corank 1 singular surfaces corank1奇异曲面的轴向曲率
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-11-20 DOI: 10.2748/tmj.20210322
R. O. Sinha, K. Saji
{"title":"The axial curvature for corank 1 singular surfaces","authors":"R. O. Sinha, K. Saji","doi":"10.2748/tmj.20210322","DOIUrl":"https://doi.org/10.2748/tmj.20210322","url":null,"abstract":"For singular corank 1 surfaces in $mathbb R^3$ we introduce a distinguished normal vector called the axial vector. Using this vector and the curvature parabola we define a new type of curvature called the axial curvature, which generalizes the singular curvature for frontal type singularities. We then study contact properties of the surface with respect to the plane orthogonal to the axial vector and show how they are related to the axial curvature. Finally, for certain fold type singularities, we relate the axial curvature with the Gaussian curvature of an appropriate blow up.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42397115","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 étale fundamental groups of formal fibres of $p$-adic curves 关于p -adic曲线形式纤维的<s:1>基本群
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-09-18 DOI: 10.2748/tmj/1585101621
Mohamed Saidi
{"title":"On étale fundamental groups of formal fibres of $p$-adic curves","authors":"Mohamed Saidi","doi":"10.2748/tmj/1585101621","DOIUrl":"https://doi.org/10.2748/tmj/1585101621","url":null,"abstract":"We investigate a certain class of (geometric) finite (Galois) coverings of formal fibres of $p$-adic curves and the corresponding quotient of the (geometric) etale fundamental group. A key result in our investigation is that these (Galois) coverings can be compactified to finite (Galois) coverings of proper $p$-adic curves. We also prove that the maximal prime-to-$p$ quotient of the geometric etale fundamental group of a (geometrically connected) formal fibre of a $p$-adic curve is (pro-)prime-to-$p$ free of finite computable rank.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69220711","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
Triple product $p$-adic $L$-function attached to $p$-adic families of modular forms 三重积$p$-adic $L$-函数附属于模形式的$p$-adic族
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-09-07 DOI: 10.2748/tmj.20210501
Kengo Fukunaga
{"title":"Triple product $p$-adic $L$-function attached to $p$-adic families of modular forms","authors":"Kengo Fukunaga","doi":"10.2748/tmj.20210501","DOIUrl":"https://doi.org/10.2748/tmj.20210501","url":null,"abstract":"Ming-Lun Hsieh constructed three-variable triple product p-adic L-functions attached to triples of primitive Hida families and proved interpolation formulas. We generalize his result in the unbalanced case and construct a three-variable triple product p-adic L-function attached to a primitive Hida family and two more general p-adic families of modular forms.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43535706","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
La version relative de la conjecture des périodes de Kontsevich-Zagier revisitée 重新审视Kontsevich-Zagier时期猜想的相对版本
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-09-01 DOI: 10.2748/tmj/1568772181
J. Ayoub
{"title":"La version relative de la conjecture des périodes de Kontsevich-Zagier revisitée","authors":"J. Ayoub","doi":"10.2748/tmj/1568772181","DOIUrl":"https://doi.org/10.2748/tmj/1568772181","url":null,"abstract":"Dans cette courte note, on remarque qu’une petite modification dans le calcul effectue dans [5] de l’algebre du torseur d’isomorphismes entre la realisation de Betti tangentielle et la realisation de De Rham resulte en un enonce du type Kontsevich–Zagier fonctionnel purement algebrique et nettement plus satisfaisant que l’enonce obtenu dans [5].In this short note, we remark that a small modification in the computation made in [5] of the algebra of the torsor of isomorphisms between the tangential Betti realisation and the De Rham realisation results in a statement of functional Kontsevich–Zagier type which is purely algebraic and much more satisfactory than the statement obtained in [5].","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42523035","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 curvature of the Fefferman metric of contact Riemannian manifolds 关于接触黎曼流形的Fefferman度量的曲率
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-09-01 DOI: 10.2748/tmj/1568772179
M. Nagase
{"title":"On the curvature of the Fefferman metric of contact Riemannian manifolds","authors":"M. Nagase","doi":"10.2748/tmj/1568772179","DOIUrl":"https://doi.org/10.2748/tmj/1568772179","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45659248","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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