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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":" ","pages":""},"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":" ","pages":""},"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":" ","pages":""},"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":" ","pages":""},"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":" ","pages":""},"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
Liouville's formulae and Hadamard variation with respect to general domain perturbations Liouville公式和关于一般域摄动的Hadamard变分
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2022-10-03 DOI: 10.2969/jmsj/88958895
Takashi Suzuki, T. Tsuchiya
{"title":"Liouville's formulae and Hadamard variation with respect to general domain perturbations","authors":"Takashi Suzuki, T. Tsuchiya","doi":"10.2969/jmsj/88958895","DOIUrl":"https://doi.org/10.2969/jmsj/88958895","url":null,"abstract":"We study Hadamard variations with respect to general domain perturbations, particularly for the Neumann boundary condition. They are derived from new Liouville's formulae concerning the transformation of volume and area integrals. Then, relations to several geometric quantities are discussed; differential forms and the second fundamental form on the boundary.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42515682","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
Robustness of exponential attractors for infinite dimensional dynamical systems with small delay and application to 2D nonlocal diffusion delay lattice systems 小时滞无穷维动力系统指数吸引子的鲁棒性及其在二维非局部扩散时滞格系统中的应用
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2022-08-22 DOI: 10.2969/jmsj/88438843
Lin Yang, Yejuan Wang, P. Kloeden
{"title":"Robustness of exponential attractors for infinite dimensional dynamical systems with small delay and application to 2D nonlocal diffusion delay lattice systems","authors":"Lin Yang, Yejuan Wang, P. Kloeden","doi":"10.2969/jmsj/88438843","DOIUrl":"https://doi.org/10.2969/jmsj/88438843","url":null,"abstract":"","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42121880","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
Branched covers and pencils on hyperelliptic Lefschetz fibrations 超椭圆Lefschetz纤维上的分支覆盖物和铅笔
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2022-07-31 DOI: 10.2969/jmsj/90089008
Terry Fuller
{"title":"Branched covers and pencils on hyperelliptic Lefschetz fibrations","authors":"Terry Fuller","doi":"10.2969/jmsj/90089008","DOIUrl":"https://doi.org/10.2969/jmsj/90089008","url":null,"abstract":"Generalizing work of I. Baykur, K. Hayano, and N. Monden (arXiv:1903.02906), we construct infinite families of symplectic 4-dimensional manifolds, obtained as total spaces of Lefschetz pencils constructed by explicit monodromy factorizations. Then, generalizing work of the author (arXiv:2108.04868), we show that each of these manifolds is diffeomorphic to a complex surface that is a fiber sum formed from two standard examples of hyperelliptic Lefschetz fibrations. Consequently, we see that these hyperelliptic Lefschetz fibrations, as well as all fiber sums of them, admit an infinite family of explicitly described Lefschetz pencils, which we observe are different from families formed by the degree doubling procedure.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48163694","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
On the class groups of certain imaginary cyclic fields of 2-power degree 若干2次虚循环域的类群
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2022-05-13 DOI: 10.2969/jmsj/86438643
H. Ichimura, Hiroki Sumida-Takahashi
{"title":"On the class groups of certain imaginary cyclic fields of 2-power degree","authors":"H. Ichimura, Hiroki Sumida-Takahashi","doi":"10.2969/jmsj/86438643","DOIUrl":"https://doi.org/10.2969/jmsj/86438643","url":null,"abstract":"Let p be an odd prime number and 2e+1 be the highest power of 2 dividing p − 1. For 0 ≤ n ≤ e, let kn be the real cyclic field of conductor p and degree 2n. For a certain imaginary quadratic field L0, we put Ln = L0kn. For 0 ≤ n ≤ e − 1, let Fn be the imaginary quadratic subextension of the imaginary (2, 2)-extension Ln+1/kn with Fn ̸= Ln. We study the Galois module structure of the 2-part of the ideal class group of the imaginary cyclic field Fn. This generalizes a classical result of Rédei and Reichardt for the case n = 0.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69573974","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 group of self-homotopy equivalences of a rational space cannot be a free abelian group 有理空间的自同态等价群不能是自由阿贝尔群
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2022-05-13 DOI: 10.2969/jmsj/87158715
M. Benkhalifa
{"title":"The group of self-homotopy equivalences of a rational space cannot be a free abelian group","authors":"M. Benkhalifa","doi":"10.2969/jmsj/87158715","DOIUrl":"https://doi.org/10.2969/jmsj/87158715","url":null,"abstract":"In this paper, we prove that a free abelian group cannot occur as the group of self-homotopy equivalences of a rational CW-complex of finite type. Thus, we generalize a result due to Sullivan-Wilkerson showing that if X is a rational CW-complex of finite type such that dimH∗(X,Z) < ∞ or dimπ∗(X) < ∞, then the group of self-homotopy equivalences of X is isomorphic to a linear algebraic group defined over Q.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45081143","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
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