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Erratum by Editorial office: 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 : 2020-03-01 DOI: 10.2748/tmj/1585101626
Satoru Fukasawa, Kei Miura, Takeshi Takahashi
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引用次数: 0
Sunada transplantation and isogeny of intermediate Jacobians of compact Kähler manifolds 紧Kähler流形的中间雅可比矩阵的Sunada移植与等构
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-03-01 DOI: 10.2748/tmj/1585101624
Carolyn S. Gordon, Eran Makover, Bjoern Muetzel, David L. Webb
{"title":"Sunada transplantation and isogeny of intermediate Jacobians of compact Kähler manifolds","authors":"Carolyn S. Gordon, Eran Makover, Bjoern Muetzel, David L. Webb","doi":"10.2748/tmj/1585101624","DOIUrl":"https://doi.org/10.2748/tmj/1585101624","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46253353","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
Rough integration via fractional calculus 基于分数微积分的粗积分
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-03-01 DOI: 10.2748/tmj/1585101620
Yu Ito
{"title":"Rough integration via fractional calculus","authors":"Yu Ito","doi":"10.2748/tmj/1585101620","DOIUrl":"https://doi.org/10.2748/tmj/1585101620","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42941908","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
Higher-order nonlinear Schrödinger equation in 2D case 二维情况下的高阶非线性薛定谔方程
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-03-01 DOI: 10.2748/tmj/1585101619
N. Hayashi, P. Naumkin
{"title":"Higher-order nonlinear Schrödinger equation in 2D case","authors":"N. Hayashi, P. Naumkin","doi":"10.2748/tmj/1585101619","DOIUrl":"https://doi.org/10.2748/tmj/1585101619","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48640539","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: 4
Higher Nash blowups of normal toric varieties in prime characteristic 正常环面性状的高纳什膨胀
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-02-17 DOI: 10.2748/tmj.20200618
Daniel Duarte, Luis N'unez-Betancourt
{"title":"Higher Nash blowups of normal toric varieties in prime characteristic","authors":"Daniel Duarte, Luis N'unez-Betancourt","doi":"10.2748/tmj.20200618","DOIUrl":"https://doi.org/10.2748/tmj.20200618","url":null,"abstract":"We prove that the higher Nash blowup of a normal toric variety defined over a field of positive characteristic is an isomorphism if and only if it is non-singular. We also extend a result by R. Toh-Yama which shows that higher Nash blowups do not give a one-step resolution of the $A_3$-singularity. These results were previously known only in characteristic zero.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69154103","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
Waring rank of binary forms, harmonic cross-ratio and golden ratio 二进制形式的Waring秩、调和交比和黄金比
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-02-13 DOI: 10.2748/tmj.20210525
A. Dimca, Gabriel Sticlaru
{"title":"Waring rank of binary forms, harmonic cross-ratio and golden ratio","authors":"A. Dimca, Gabriel Sticlaru","doi":"10.2748/tmj.20210525","DOIUrl":"https://doi.org/10.2748/tmj.20210525","url":null,"abstract":"We discuss the Waring rank of binary forms of degree 4 and 5, without multiple factors, and point out unexpected relations to the harmonic cross-ratio, j-invariants and the golden ratio. These computations of ranks for binary forms are used to show that the combinatorics of a line arrangement in the complex projective plane does not determine the Waring rank of the defining equation even in very simple situations.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46971606","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
Torsion generators of the twist subgroup 扭转子群的扭转发生器
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-01-16 DOI: 10.2748/tmj.20210407
Tulin Altunoz, Mehmetcik Pamuk, O. Yildiz
{"title":"Torsion generators of the twist subgroup","authors":"Tulin Altunoz, Mehmetcik Pamuk, O. Yildiz","doi":"10.2748/tmj.20210407","DOIUrl":"https://doi.org/10.2748/tmj.20210407","url":null,"abstract":"We showed that the twist subgroup of the mapping class group of a closed connected nonorientable surface of genus $ggeq13$ can be generated by two involutions and an element of order $g$ or $g-1$ depending on whether $g$ is odd or even respectively.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45998347","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
Newton’s Law of Universal Gravitation 牛顿万有引力定律
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-01-01 DOI: 10.1090/clrm/050/16
A. E. Kossovsky
{"title":"Newton’s Law of Universal Gravitation","authors":"A. E. Kossovsky","doi":"10.1090/clrm/050/16","DOIUrl":"https://doi.org/10.1090/clrm/050/16","url":null,"abstract":"Newton’s law of universal gravitation states that any particle in the universe attracts every other particle with a force (pointing along the line intersecting both particles) which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"60550179","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: 17
On sufficient conditions to extend Huber's finite connectivity theorem to higher dimensions 给出了将Huber有限连通性定理推广到高维的充分条件
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-12-24 DOI: 10.2748/tmj.20200701
K. Kondo, Yusuke Shinoda
{"title":"On sufficient conditions to extend Huber's finite connectivity theorem to higher dimensions","authors":"K. Kondo, Yusuke Shinoda","doi":"10.2748/tmj.20200701","DOIUrl":"https://doi.org/10.2748/tmj.20200701","url":null,"abstract":"Let $M$ be a connected complete noncompact $n$-dimensional Riemannian manifold with a base point $p in M$ whose radial sectional curvature at $p$ is bounded from below by that of a noncompact surface of revolution which admits a finite total curvature where $n geq 2$. Note here that our radial curvatures can change signs wildly. We then show that $lim_{ttoinfty} mathrm{vol} B_t(p) / t^n$ exists where $mathrm{vol} B_t(p)$ denotes the volume of the open metric ball $B_t(p)$ with center $p$ and radius $t$. Moreover we show that in addition if the limit above is positive, then $M$ has finite topological type and there is therefore a finitely upper bound on the number of ends of $M$.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43805526","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
Schwarz's map for Appell's second hypergeometric system with quarter integer parameters 具有四分之一整数参数的Appell第二超几何系统的Schwarz映射
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2019-12-18 DOI: 10.2748/tmj.20201207
Keiji Matsumoto, Shohei Osafune, T. Terasoma
{"title":"Schwarz's map for Appell's second hypergeometric system with quarter integer parameters","authors":"Keiji Matsumoto, Shohei Osafune, T. Terasoma","doi":"10.2748/tmj.20201207","DOIUrl":"https://doi.org/10.2748/tmj.20201207","url":null,"abstract":"We study Schwarz's map for Appell's second system $cF_2$ of hypergeometric differential equations in two variables with parameters $a=c_1=c_2=frac{1}{2}$, $b_1=b_2=frac{1}{4}$. By using theta functions with characteristics, we give a defining equation of an analytic set in $C^2times H$ of its image, and express its inverse.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49438663","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
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