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Analytic Ax–Schanuel for semi-abelian varieties and Nevanlinna theory 半阿贝尔变种的解析Ax-Schanuel和Nevanlinna理论
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2023-04-05 DOI: 10.2969/jmsj/89588958
J. Noguchi
{"title":"Analytic Ax–Schanuel for semi-abelian varieties and Nevanlinna theory","authors":"J. Noguchi","doi":"10.2969/jmsj/89588958","DOIUrl":"https://doi.org/10.2969/jmsj/89588958","url":null,"abstract":"","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48550708","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 irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order 2 (Part 2) 2阶自同构与非退化偶格相关的顶点代数不动点子代数的不可约弱模（下）
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2023-03-27 DOI: 10.2969/jmsj/89848984
K. Tanabe
{"title":"The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order 2 (Part 2)","authors":"K. Tanabe","doi":"10.2969/jmsj/89848984","DOIUrl":"https://doi.org/10.2969/jmsj/89848984","url":null,"abstract":"Let $V_{L}$ be the vertex algebra associated to a non-degenerate even lattice $L$, $theta$ the automorphism of $V_{L}$ induced from the $-1$ symmetry of $L$, and $V_{L}^{+}$ the fixed point subalgebra of $V_{L}$ under the action of $theta$. In this series of papers, we classify the irreducible weak $V_{L}^{+}$-modules and show that any irreducible weak $V_{L}^{+}$-module is isomorphic to a weak submodule of some irreducible weak $V_{L}$-module or to a submodule of some irreducible $theta$-twisted $V_{L}$-module. Let $M(1)^{+}$ be the fixed point subalgebra of the Heisenberg vertex operator algebra $M(1)$ under the action of $theta$. In this paper (Part $2$), we show that there exists an irreducible $M(1)^{+}$-submodule in any non-zero weak $V_{L}^{+}$-module and we compute extension groups for $M(1)^{+}$.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47598225","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
Frobenius method for Mahler equations Mahler方程的Frobenius方法
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2023-03-23 DOI: 10.2969/jmsj/89258925
J. Roques
{"title":"Frobenius method for Mahler equations","authors":"J. Roques","doi":"10.2969/jmsj/89258925","DOIUrl":"https://doi.org/10.2969/jmsj/89258925","url":null,"abstract":"","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48483724","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
Sharp $L^{p} to L^{q,infty}$ estimates for the Hilbert transform 对希尔伯特变换的精确$L^{p} to L^{q,infty}$估计
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2023-03-14 DOI: 10.2969/jmsj/89668966
Tomasz Gałązka, A. Osȩkowski
{"title":"Sharp $L^{p} to L^{q,infty}$ estimates for the Hilbert transform","authors":"Tomasz Gałązka, A. Osȩkowski","doi":"10.2969/jmsj/89668966","DOIUrl":"https://doi.org/10.2969/jmsj/89668966","url":null,"abstract":"","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45044250","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
Singular matrices and geometry at infinity of products of symmetric spaces 对称空间积无穷远处的奇异矩阵与几何
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2023-03-13 DOI: 10.2969/jmsj/87218721
T. Hattori
{"title":"Singular matrices and geometry at infinity of products of symmetric spaces","authors":"T. Hattori","doi":"10.2969/jmsj/87218721","DOIUrl":"https://doi.org/10.2969/jmsj/87218721","url":null,"abstract":"","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47999272","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
Simple Hurwitz groups and eta invariant 简单Hurwitz群和不变量
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2023-02-09 DOI: 10.2969/jmsj/88218821
Takayuki Morifuji
{"title":"Simple Hurwitz groups and eta invariant","authors":"Takayuki Morifuji","doi":"10.2969/jmsj/88218821","DOIUrl":"https://doi.org/10.2969/jmsj/88218821","url":null,"abstract":"","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43566659","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
Asymptotic existence theorem for formal solutions with singularities of nonlinear partial differential equations via multisummability 基于多重可和性的非线性偏微分方程形式解的渐近存在性定理
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2022-10-21 DOI: 10.2969/jmsj/88248824
H. Tahara
{"title":"Asymptotic existence theorem for formal solutions with singularities of nonlinear partial differential equations via multisummability","authors":"H. Tahara","doi":"10.2969/jmsj/88248824","DOIUrl":"https://doi.org/10.2969/jmsj/88248824","url":null,"abstract":"In this paper, we consider the summability of formal solutions with singularities (such as logarithmic singularities, functional power singularities, etc.) of nonlinear partial differential equations in the complex domain. The main result is as follows: when a formal solution with singularities is given, under appropriate assumptions related to the formal solution, the equation has a true solution that admits the given formal solution as an asymptotic expansion. The proof is done by constructing a new formal solution that is equivalent to the given formal solution in the asymptotic sense and is multisummable in a suitable direction. The assumptions are stated in terms of the Newton polygon associated with the given formal solution.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47942395","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
The affine ensemble: determinantal point processes associated with the $ax + b$ group 仿射系综:与$ax + b$群相关的决定点过程
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2022-10-15 DOI: 10.2969/jmsj/88018801
L. D. Abreu, P. Balázs, Smiljana Jakvsi'c
{"title":"The affine ensemble: determinantal point processes associated with the $ax + b$ group","authors":"L. D. Abreu, P. Balázs, Smiljana Jakvsi'c","doi":"10.2969/jmsj/88018801","DOIUrl":"https://doi.org/10.2969/jmsj/88018801","url":null,"abstract":". We introduce the affine ensemble, a class of determinantal point processes (DPP) in the half-plane C + associated with the ax + b (affine) group, depending on an admissible Hardy function ψ . We obtain the asymptotic behavior of the variance, the exact value of the asymptotic constant, and non-asymptotic upper and lower bounds for the variance on a compact set Ω ⊂ C + . As a special case one recovers the DPP related to the weighted Bergman kernel. When ψ is chosen within a finite family whose Fourier transform are Laguerre functions, we obtain the DPP associated to hyperbolic Landau levels, the eigenspaces of the finite spectrum of the Maass Laplacian with a magnetic field.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44314132","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 polynomial images of a closed ball 关于闭合球的多项式图像
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2022-10-06 DOI: 10.2969/jmsj/88468846
J. Fernando, Carlos Ueno
{"title":"On polynomial images of a closed ball","authors":"J. Fernando, Carlos Ueno","doi":"10.2969/jmsj/88468846","DOIUrl":"https://doi.org/10.2969/jmsj/88468846","url":null,"abstract":"","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41869120","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 braids and links up to link-homotopy 关于辫状和链状的链同伦
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2022-10-04 DOI: 10.2969/jmsj/90449044
Emmanuel Graff
{"title":"On braids and links up to link-homotopy","authors":"Emmanuel Graff","doi":"10.2969/jmsj/90449044","DOIUrl":"https://doi.org/10.2969/jmsj/90449044","url":null,"abstract":"This paper deals with links and braids up to link-homotopy, studied from the viewpoint of Habiro's clasper calculus. More precisely, we use clasper homotopy calculus in two main directions. First, we define and compute a faithful linear representation of the homotopy braid group, by using claspers as geometric commutators. Second, we give a geometric proof of Levine's classification of 4-component links up to link-homotopy, and go further with the classification of 5-component links in the algebraically split case.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41856746","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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