发布求助
文献互助 智能选刊 最新文献

Mathematical Proceedings of the Cambridge Philosophical Society最新文献

筛选
英文 中文
PSP volume 175 issue 3 Cover and Front matter PSP第175卷第3期封面和封面问题
3区 数学
Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2023-10-13 DOI: 10.1017/s0305004123000592
{"title":"PSP volume 175 issue 3 Cover and Front matter","authors":"","doi":"10.1017/s0305004123000592","DOIUrl":"https://doi.org/10.1017/s0305004123000592","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":18320,"journal":{"name":"Mathematical Proceedings of the Cambridge Philosophical Society","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135858375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
PSP volume 175 issue 3 Cover and Back matter PSP第175卷第3期封面和封底
3区 数学
Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2023-10-13 DOI: 10.1017/s0305004123000609
{"title":"PSP volume 175 issue 3 Cover and Back matter","authors":"","doi":"10.1017/s0305004123000609","DOIUrl":"https://doi.org/10.1017/s0305004123000609","url":null,"abstract":"An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.","PeriodicalId":18320,"journal":{"name":"Mathematical Proceedings of the Cambridge Philosophical Society","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135858175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 subdirect products of type FPn of limit groups over Droms RAAGs Droms RAAGs上极限群FPn型的子直积
3区 数学
Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2023-10-11 DOI: 10.1017/s0305004123000579
Dessislava H. Kochloukova, Jone Lopez de Gamiz Zearra
{"title":"On subdirect products of type <i>FP<sub>n</sub></i> of limit groups over Droms RAAGs","authors":"Dessislava H. Kochloukova, Jone Lopez de Gamiz Zearra","doi":"10.1017/s0305004123000579","DOIUrl":"https://doi.org/10.1017/s0305004123000579","url":null,"abstract":"Abstract We generalise some known results for limit groups over free groups and residually free groups to limit groups over Droms RAAGs and residually Droms RAAGs, respectively. We show that limit groups over Droms RAAGs are free-by-(torsion-free nilpotent). We prove that if S is a full subdirect product of type $FP_s(mathbb{Q})$ of limit groups over Droms RAAGs with trivial center, then the projection of S to the direct product of any s of the limit groups over Droms RAAGs has finite index. Moreover, we compute the growth of homology groups and the volume gradients for limit groups over Droms RAAGs in any dimension and for finitely presented residually Droms RAAGs of type $FP_m$ in dimensions up to m . In particular, this gives the values of the analytic $L^2$ -Betti numbers of these groups in the respective dimensions.","PeriodicalId":18320,"journal":{"name":"Mathematical Proceedings of the Cambridge Philosophical Society","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136058233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Abelian tropical covers 阿贝尔热带覆盖物
3区 数学
Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2023-10-10 DOI: 10.1017/s0305004123000518
Yoav Len, Martin Ulirsch, Dmitry Zakharov
{"title":"Abelian tropical covers","authors":"Yoav Len, Martin Ulirsch, Dmitry Zakharov","doi":"10.1017/s0305004123000518","DOIUrl":"https://doi.org/10.1017/s0305004123000518","url":null,"abstract":"Abstract Let $mathfrak{A}$ be a finite abelian group. In this paper, we classify harmonic $mathfrak{A}$ -covers of a tropical curve $Gamma$ (which allow dilation along edges and at vertices) in terms of the cohomology group of a suitably defined sheaf on $Gamma$ . We give a realisability criterion for harmonic $mathfrak{A}$ -covers by patching local monodromy data in an extended homology group on $Gamma$ . As an explicit example, we work out the case $mathfrak{A}=mathbb{Z}/pmathbb{Z}$ and explain how realisability for such covers is related to the nowhere-zero flow problem from graph theory.","PeriodicalId":18320,"journal":{"name":"Mathematical Proceedings of the Cambridge Philosophical Society","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136254855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
On Bohr compactifications and profinite completions of group extensions 群扩展的玻尔紧化与无限补全
3区 数学
Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2023-10-09 DOI: 10.1017/s0305004123000555
BACHIR BEKKA
{"title":"On Bohr compactifications and profinite completions of group extensions","authors":"BACHIR BEKKA","doi":"10.1017/s0305004123000555","DOIUrl":"https://doi.org/10.1017/s0305004123000555","url":null,"abstract":"Abstract Let $G= Nrtimes H$ be a locally compact group which is a semi-direct product of a closed normal subgroup N and a closed subgroup H . The Bohr compactification ${rm Bohr}(G)$ and the profinite completion ${rm Prof}(G)$ of G are, respectively, isomorphic to semi-direct products $Q_1 rtimes {rm Bohr}(H)$ and $Q_2 rtimes {rm Prof}(H)$ for appropriate quotients $Q_1$ of ${rm Bohr}(N)$ and $Q_2$ of ${rm Prof}(N).$ We give a precise description of $Q_1$ and $Q_2$ in terms of the action of H on appropriate subsets of the dual space of N . In the case where N is abelian, we have ${rm Bohr}(G)cong A rtimes {rm Bohr}(H)$ and ${rm Prof}(G)cong B rtimes {rm Prof}(H),$ where A (respectively B ) is the dual group of the group of unitary characters of N with finite H -orbits (respectively with finite image). Necessary and sufficient conditions are deduced for G to be maximally almost periodic or residually finite. We apply the results to the case where $G= Lambdawr H$ is a wreath product of discrete groups; we show in particular that, in case H is infinite, ${rm Bohr}(Lambdawr H)$ is isomorphic to ${rm Bohr}(Lambda^{rm Ab}wr H)$ and ${rm Prof}(Lambdawr H)$ is isomorphic to ${rm Prof}(Lambda^{rm Ab} wr H),$ where $Lambda^{rm Ab}=Lambda/ [Lambda, Lambda]$ is the abelianisation of $Lambda.$ As examples, we compute ${rm Bohr}(G)$ and ${rm Prof}(G)$ when G is a lamplighter group and when G is the Heisenberg group over a unital commutative ring.","PeriodicalId":18320,"journal":{"name":"Mathematical Proceedings of the Cambridge Philosophical Society","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135094897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Nonvarying, affine and extremal geometry of strata of differentials 微分地层的非变、仿射和极值几何
3区 数学
Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2023-10-06 DOI: 10.1017/s0305004123000567
DAWEI CHEN
{"title":"Nonvarying, affine and extremal geometry of strata of differentials","authors":"DAWEI CHEN","doi":"10.1017/s0305004123000567","DOIUrl":"https://doi.org/10.1017/s0305004123000567","url":null,"abstract":"Abstract We prove that the nonvarying strata of abelian and quadratic differentials in low genus have trivial tautological rings and are affine varieties. We also prove that strata of k -differentials of infinite area are affine varieties for all k . Vanishing of homology in degree higher than the complex dimension follows as a consequence for these affine strata. Moreover we prove that the stratification of the Hodge bundle for abelian and quadratic differentials of finite area is extremal in the sense that merging two zeros in each stratum leads to an extremal effective divisor in the boundary. A common feature throughout these results is a relation of divisor classes in strata of differentials as well as its incarnation in Teichmüller dynamics.","PeriodicalId":18320,"journal":{"name":"Mathematical Proceedings of the Cambridge Philosophical Society","volume":"214 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135351495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 topology of the transversal slice of a quasi-homogeneous map germ 拟齐次映射胚横切面的拓扑结构
3区 数学
Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2023-10-06 DOI: 10.1017/s0305004123000464
O. N. SILVA
{"title":"On the topology of the transversal slice of a quasi-homogeneous map germ","authors":"O. N. SILVA","doi":"10.1017/s0305004123000464","DOIUrl":"https://doi.org/10.1017/s0305004123000464","url":null,"abstract":"Abstract We consider a corank 1, finitely determined, quasi-homogeneous map germ f from $(mathbb{C}^2,0)$ to $(mathbb{C}^3,0)$ . We describe the embedded topological type of a generic hyperplane section of $f(mathbb{C}^2)$ , denoted by $gamma_f$ , in terms of the weights and degrees of f . As a consequence, a necessary condition for a corank 1 finitely determined map germ $g,{:},(mathbb{C}^2,0)rightarrow (mathbb{C}^3,0)$ to be quasi-homogeneous is that the plane curve $gamma_g$ has either two or three characteristic exponents. As an application of our main result, we also show that any one-parameter unfolding $F=(f_t,t)$ of f which adds only terms of the same degrees as the degrees of f is Whitney equisingular.","PeriodicalId":18320,"journal":{"name":"Mathematical Proceedings of the Cambridge Philosophical Society","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135351398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Spirals of Riemann’s Zeta-Function — Curvature, Denseness and Universality 黎曼ζ函数的螺旋——曲率、密度和普适性
3区 数学
Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2023-10-05 DOI: 10.1017/s0305004123000543
ATHANASIOS SOURMELIDIS, JÖRN STEUDING
{"title":"Spirals of Riemann’s Zeta-Function — Curvature, Denseness and Universality","authors":"ATHANASIOS SOURMELIDIS, JÖRN STEUDING","doi":"10.1017/s0305004123000543","DOIUrl":"https://doi.org/10.1017/s0305004123000543","url":null,"abstract":"Abstract This paper deals with applications of Voronin’s universality theorem for the Riemann zeta-function $zeta$ . Among other results we prove that every plane smooth curve appears up to a small error in the curve generated by the values $zeta(sigma+it)$ for real t where $sigmain(1/2,1)$ is fixed. In this sense, the values of the zeta-function on any such vertical line provides an atlas for plane curves. In the same framework, we study the curvature of curves generated from $zeta(sigma+it)$ when $sigma&gt;1/2$ and we show that there is a connection with the zeros of $zeta'(sigma+it)$ . Moreover, we clarify under which conditions the real and the imaginary part of the zeta-function are jointly universal.","PeriodicalId":18320,"journal":{"name":"Mathematical Proceedings of the Cambridge Philosophical Society","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134975868","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A problem of Erdős–Graham–Granville–Selfridge on integral points on hyperelliptic curves 超椭圆曲线上积分点的Erdős-Graham-Granville-Selfridge问题
3区 数学
Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2023-10-05 DOI: 10.1017/s0305004123000488
HUNG M. BUI, KYLE PRATT, ALEXANDRU ZAHARESCU
{"title":"A problem of Erdős–Graham–Granville–Selfridge on integral points on hyperelliptic curves","authors":"HUNG M. BUI, KYLE PRATT, ALEXANDRU ZAHARESCU","doi":"10.1017/s0305004123000488","DOIUrl":"https://doi.org/10.1017/s0305004123000488","url":null,"abstract":"Abstract Erdős, Graham and Selfridge considered, for each positive integer n , the least value of $t_n$ so that the integers $n+1, n+2, dots, n+t_n $ contain a subset the product of whose members with n is a square. An open problem posed by Granville concerns the size of $t_n$ , under the assumption of the ABC conjecture. We establish some results on the distribution of $t_n$ , and in the process solve Granville’s problem unconditionally.","PeriodicalId":18320,"journal":{"name":"Mathematical Proceedings of the Cambridge Philosophical Society","volume":"100 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134976029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Structure of fine Selmer groups over -extensions 扩展上精细Selmer群的结构
3区 数学
Mathematical Proceedings of the Cambridge Philosophical Society Pub Date : 2023-10-04 DOI: 10.1017/s0305004123000531
MENG FAI LIM
{"title":"Structure of fine Selmer groups over -extensions","authors":"MENG FAI LIM","doi":"10.1017/s0305004123000531","DOIUrl":"https://doi.org/10.1017/s0305004123000531","url":null,"abstract":"Abstract This paper is concerned with the study of the fine Selmer group of an abelian variety over a $mathbb{Z}_{p}$ -extension which is not necessarily cyclotomic. It has been conjectured that these fine Selmer groups are always torsion over $mathbb{Z}_{p}[[ Gamma ]]$ , where $Gamma$ is the Galois group of the $mathbb{Z}_{p}$ -extension in question. In this paper, we shall provide several strong evidences towards this conjecture. Namely, we show that the conjectural torsionness is consistent with the pseudo-nullity conjecture of Coates–Sujatha. We also show that if the conjecture is known for the cyclotomic $mathbb{Z}_{p}$ -extension, then it holds for almost all $mathbb{Z}_{p}$ -extensions. We then carry out a similar study for the fine Selmer group of an elliptic modular form. When the modular forms are ordinary and come from a Hida family, we relate the torsionness of the fine Selmer groups of the specialization. This latter result allows us to show that the conjectural torsionness in certain cases is consistent with the growth number conjecture of Mazur. Finally, we end with some speculations on the torsionness of fine Selmer groups over an arbitrary p -adic Lie extension.","PeriodicalId":18320,"journal":{"name":"Mathematical Proceedings of the Cambridge Philosophical Society","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135591867","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信