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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":"1 1","pages":""},"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":" ","pages":""},"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":" ","pages":""},"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":" ","pages":""},"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
An inverse problem for a class of lacunary canonical systems with diagonal Hamiltonian 一类具有对角哈密顿算子的缺正则系统的反问题
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-07-18 DOI: 10.2748/tmj.20210816
Masatoshi Suzuki
{"title":"An inverse problem for a class of lacunary canonical systems with diagonal Hamiltonian","authors":"Masatoshi Suzuki","doi":"10.2748/tmj.20210816","DOIUrl":"https://doi.org/10.2748/tmj.20210816","url":null,"abstract":"Hamiltonians are 2-by-2 positive semidefinite real symmetric matrix-valued functions satisfying certain conditions. In this paper, we solve the inverse problem for which recovers a Hamiltonian from the solution of a first-order system attached to a given Hamiltonian, consisting of ordinary differential equations parametrized by a set of complex numbers, under certain conditions for the solutions. This inverse problem is a generalization of the inverse problem for two-dimensional canonical systems.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41605876","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
Simple foliated flows 单纯叶状流
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-06-16 DOI: 10.2748/tmj.20201015b
J. '. L'opez, Y. Kordyukov, E. Leichtnam
{"title":"Simple foliated flows","authors":"J. '. L'opez, Y. Kordyukov, E. Leichtnam","doi":"10.2748/tmj.20201015b","DOIUrl":"https://doi.org/10.2748/tmj.20201015b","url":null,"abstract":"We describe transversely oriented foliations of codimension one on closed manifolds that admit simple foliated flows.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41735227","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
Growth estimates for meromorphic solutions of higher order algebraic differential equations 高阶代数微分方程亚纯解的增长估计
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-06-13 DOI: 10.2748/tmj.20191118
S. Makhmutov, Jouni Rattya, Toni Vesikko
{"title":"Growth estimates for meromorphic solutions of higher order algebraic differential equations","authors":"S. Makhmutov, Jouni Rattya, Toni Vesikko","doi":"10.2748/tmj.20191118","DOIUrl":"https://doi.org/10.2748/tmj.20191118","url":null,"abstract":"We establish pointwise growth estimates for the spherical derivative of solutions of the first order algebraic differential equations. A generalization of this result to higher order equations is also given. We discuss the related question of when for a given class $X$ of meromorphic functions in the unit disc, defined by means of the spherical derivative, and $m in mathbb{N} setminus {1}$, $f^min X$ implies $fin X$. An affirmative answer to this is given for example in the case of $mathord{rm UBC}$, the $alpha$-normal functions with $alphage1$ and certain (sufficiently large) Dirichlet type classes.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42703127","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 cycles and Verra fourfolds 代数循环与Verra四重
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-06-11 DOI: 10.2748/tmj/1601085625
R. Laterveer
{"title":"Algebraic cycles and Verra fourfolds","authors":"R. Laterveer","doi":"10.2748/tmj/1601085625","DOIUrl":"https://doi.org/10.2748/tmj/1601085625","url":null,"abstract":"This note is about the Chow ring of Verra fourfolds. For a general Verra fourfold, we show that the Chow group of homologically trivial $1$-cycles is generated by conics. We also show that Verra fourfolds admit a multiplicative Chow-K\"unneth decomposition, and draw some consequences for the intersection product in the Chow ring of Verra fourfolds.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47302010","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: 16
Quinary lattices and binary quaternion hermitian lattices 五元格与二元四元数hermitian格
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-06-01 DOI: 10.2748/TMJ/1561082596
T. Ibukiyama
{"title":"Quinary lattices and binary quaternion hermitian lattices","authors":"T. Ibukiyama","doi":"10.2748/TMJ/1561082596","DOIUrl":"https://doi.org/10.2748/TMJ/1561082596","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46701859","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
Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor 具有非扩散活化剂和扩散抑制剂的FitzHugh-Nagumo体系的稳态
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-06-01 DOI: 10.2748/TMJ/1561082598
Yingguo Li, A. Marciniak-Czochra, I. Takagi, Boying Wu
{"title":"Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor","authors":"Yingguo Li, A. Marciniak-Czochra, I. Takagi, Boying Wu","doi":"10.2748/TMJ/1561082598","DOIUrl":"https://doi.org/10.2748/TMJ/1561082598","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44687144","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: 5
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