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Calderón–Zygmund singular integrals in central Morrey–Orlicz spaces 中心Morrey–Orlicz空间中的Calderón–Zygmund奇异积分
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-06-01 DOI: 10.2748/tmj/1593136820
L. Maligranda, Katsuo Matsuoka
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引用次数: 2
A formula for the heat kernel coefficients on Riemannian manifolds 黎曼流形上热核系数的一个公式
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-06-01 DOI: 10.2748/tmj/1593136821
M. Nagase
{"title":"A formula for the heat kernel coefficients on Riemannian manifolds","authors":"M. Nagase","doi":"10.2748/tmj/1593136821","DOIUrl":"https://doi.org/10.2748/tmj/1593136821","url":null,"abstract":"Based on the idea of adiabatic expansion theory, we will present a new formula for the asymptotic expansion coefficients of every derivative of the heat kernel on a compact Riemannian manifold. It will be very useful for having systematic understanding of the coefficients, and, furthermore, by using only a basic knowledge of calculus added to the formula, one can describe them explicitly up to an arbitrarily high order.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"72 1","pages":"261-282"},"PeriodicalIF":0.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43156169","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
Quadratic relations between periods of connections 连接周期之间的二次关系
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-05-23 DOI: 10.2748/tmj.20211209
J. Fres'an, C. Sabbah, Jeng-Daw Yu
{"title":"Quadratic relations between periods of connections","authors":"J. Fres'an, C. Sabbah, Jeng-Daw Yu","doi":"10.2748/tmj.20211209","DOIUrl":"https://doi.org/10.2748/tmj.20211209","url":null,"abstract":"We prove the existence of quadratic relations between periods of meromorphic flat bundles on complex manifolds with poles along a divisor with normal crossings under the assumption of \"goodness\". In dimension one, for which goodness is always satisfied, we provide methods to compute the various pairings involved. In an appendix, we give details on the classical results needed for the proofs.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42432945","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: 13
Uniform K-stability and Conformally Kähler, Einstein-Maxwell geometry on toric manifolds 复曲面流形上的一致K稳定性和保形Kähler，Einstein-Maxwell几何
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-04-27 DOI: 10.2748/tmj.20201006
Yaxiong Liu
{"title":"Uniform K-stability and Conformally Kähler, Einstein-Maxwell geometry on toric manifolds","authors":"Yaxiong Liu","doi":"10.2748/tmj.20201006","DOIUrl":"https://doi.org/10.2748/tmj.20201006","url":null,"abstract":"Conformally Kahler, Einstein-Maxwell metrics and $f$-extremal metrics are generalization of canonical metrics in Kahler geometry. We introduce uniform K-stability for toric Kahler manifolds, and show that uniform K-stability is necessary condition for the existence of $f$-extremal metrics on toric manifolds. Furthermore, we show that uniform K-stability is equivalent to properness of relative K-energy.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43536252","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
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
{"title":"Erratum by Editorial office: Quasi-Galois points, I: Automorphism groups of plane curves","authors":"Satoru Fukasawa, Kei Miura, Takeshi Takahashi","doi":"10.2748/tmj/1585101626","DOIUrl":"https://doi.org/10.2748/tmj/1585101626","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"72 1","pages":"159-159"},"PeriodicalIF":0.5,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41861132","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
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":"72 1","pages":"127-147"},"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":"72 1","pages":"39-62"},"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":"72 1","pages":"15-37"},"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":"1 1","pages":""},"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":" ","pages":""},"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
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