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Curve graphs for Artin–Tits groups of type B , A∼ and C∼ are hyperbolic Artin-Tits B、A～和C～类型组的曲线图为双曲线
IF 0.8
Transactions of the London Mathematical Society Pub Date : 2020-03-10 DOI: 10.1112/tlm3.12029
M. Calvez, B. A. Cisneros de la Cruz
{"title":"Curve graphs for Artin–Tits groups of type B , A∼ and C∼ are hyperbolic","authors":"M. Calvez, B. A. Cisneros de la Cruz","doi":"10.1112/tlm3.12029","DOIUrl":"https://doi.org/10.1112/tlm3.12029","url":null,"abstract":"The graph of irreducible parabolic subgroups is a combinatorial object associated to an Artin–Tits group A defined so as to coincide with the curve graph of the (n+1) ‐times punctured disk when A is Artin's braid group on (n+1) strands. In this case, it is a hyperbolic graph, by the celebrated Masur–Minsky's theorem. Hyperbolicity of the graph of irreducible parabolic subgroups for more general Artin–Tits groups is an important open question. In this paper, we give a partial affirmative answer.","PeriodicalId":41208,"journal":{"name":"Transactions of the London Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42902866","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
The first moment of primes in arithmetic progressions: beyond the Siegel–Walfisz range 等差数列中质数的第一阶矩:超出西格尔-沃尔菲兹值域
IF 0.8
Transactions of the London Mathematical Society Pub Date : 2020-03-04 DOI: 10.1112/tlm3.12030
S. Drappeau, D. Fiorilli
{"title":"The first moment of primes in arithmetic progressions: beyond the Siegel–Walfisz range","authors":"S. Drappeau, D. Fiorilli","doi":"10.1112/tlm3.12030","DOIUrl":"https://doi.org/10.1112/tlm3.12030","url":null,"abstract":"We investigate the first moment of primes in progressions ∑q⩽x/N(q,a)=1ψ(x;q,a)−xφ(q)as x,N→∞ . We show unconditionally that, when a=1 , there is a significant bias towards negative values, uniformly for N⩽eclogx . The proof combines recent results of the authors on the first moment and on the error term in the dispersion method. More generally, for a∈Z∖{0} we prove estimates that take into account the potential existence (or inexistence) of Landau–Siegel zeros.","PeriodicalId":41208,"journal":{"name":"Transactions of the London Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41461435","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Cohomology of profinite groups of bounded rank 有界秩的无穷群的上同调
IF 0.8
Transactions of the London Mathematical Society Pub Date : 2020-02-01 DOI: 10.1112/tlm3.12037
P. Symonds
{"title":"Cohomology of profinite groups of bounded rank","authors":"P. Symonds","doi":"10.1112/tlm3.12037","DOIUrl":"https://doi.org/10.1112/tlm3.12037","url":null,"abstract":"We generalise to profinite groups some of our previous results on the cohomology of pro‐ p groups of bounded sectional p ‐rank.","PeriodicalId":41208,"journal":{"name":"Transactions of the London Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47677867","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Symmetries of quaternionic Kähler manifolds with S1 ‐symmetry S1 -对称的四元数Kähler流形的对称性
IF 0.8
Transactions of the London Mathematical Society Pub Date : 2020-01-27 DOI: 10.1112/tlm3.12026
V. Cort'es, A. Saha, D. Thung
{"title":"Symmetries of quaternionic Kähler manifolds with S1 ‐symmetry","authors":"V. Cort'es, A. Saha, D. Thung","doi":"10.1112/tlm3.12026","DOIUrl":"https://doi.org/10.1112/tlm3.12026","url":null,"abstract":"We study symmetry properties of quaternionic Kähler manifolds obtained by the HK/QK correspondence. To any Lie algebra g of infinitesimal automorphisms of the initial hyper‐Kähler data, we associate a central extension of g , acting by infinitesimal automorphisms of the resulting quaternionic Kähler manifold. More specifically, we study the metrics obtained by the one‐loop deformation of the c ‐map construction, proving that the Lie algebra of infinitesimal automorphisms of the initial projective special Kähler manifold gives rise to a Lie algebra of Killing fields of the corresponding one‐loop deformed c ‐map space. As an application, we show that this construction increases the cohomogeneity of the automorphism groups by at most one. In particular, if the initial manifold is homogeneous, then the one‐loop deformed metric is of cohomogeneity at most one. As an example, we consider the one‐loop deformation of the symmetric quaternionic Kähler metric on SU(n,2)/S(U(n)×U(2)) , which we prove is of cohomogeneity exactly one. This family generalizes the so‐called universal hypermultiplet ( n=1 ), for which we determine the full isometry group.","PeriodicalId":41208,"journal":{"name":"Transactions of the London Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47333269","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
A classification of isogeny‐torsion graphs of Q ‐isogeny classes of elliptic curves 椭圆曲线Q类同根异扭图的一个分类
IF 0.8
Transactions of the London Mathematical Society Pub Date : 2020-01-16 DOI: 10.1112/tlm3.12024
Garen Chiloyan, Álvaro Lozano-Robledo
{"title":"A classification of isogeny‐torsion graphs of Q ‐isogeny classes of elliptic curves","authors":"Garen Chiloyan, Álvaro Lozano-Robledo","doi":"10.1112/tlm3.12024","DOIUrl":"https://doi.org/10.1112/tlm3.12024","url":null,"abstract":"Let E be a Q ‐isogeny class of elliptic curves defined over Q . The isogeny graph associated to E is a graph which has a vertex for each elliptic curve in the Q ‐isogeny class E , and an edge for each cyclic Q ‐isogeny of prime degree between elliptic curves in the isogeny class, with the degree recorded as a label of the edge. In this paper, we define an isogeny‐torsion graph to be an isogeny graph where, in addition, we label each vertex with the abstract group structure of the torsion subgroup over Q of the corresponding elliptic curve. Then, the main result of the paper is a classification of all the possible isogeny‐torsion graphs that occur for Q ‐isogeny classes of elliptic curves defined over the rationals.","PeriodicalId":41208,"journal":{"name":"Transactions of the London Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46614100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 17
Causal functional calculus 因果泛函演算
IF 0.8
Transactions of the London Mathematical Society Pub Date : 2019-12-17 DOI: 10.1112/tlm3.12050
H. Chiu, R. Cont
{"title":"Causal functional calculus","authors":"H. Chiu, R. Cont","doi":"10.1112/tlm3.12050","DOIUrl":"https://doi.org/10.1112/tlm3.12050","url":null,"abstract":"We construct a new topology on the space of stopped paths and introduce a calculus for causal functionals on generic domains of this space. We propose a generic approach to pathwise integration without any assumption on the variation index of a path and obtain functional change of variable formulae which extend the results of Föllmer [Séminaire de probabilités 15 (1981), 143–150] and Cont and Fournié [J. Funct. Anal. 259 (2010), no. 4, 1043–1072] to a larger class of functionals, including Föllmer's pathwise integrals. We show that a class of smooth functionals possess a pathwise analogue of the martingale property. For paths that possess finite quadratic variation, our approach extends the Föllmer–Ito calculus and removes previous restriction on the time partition sequence. We introduce a foliation structure on this path space and show that harmonic functionals may be represented as pathwise integrals of closed 1‐forms.","PeriodicalId":41208,"journal":{"name":"Transactions of the London Mathematical Society","volume":"9 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"63412673","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Issue Information 问题信息
IF 0.8
Transactions of the London Mathematical Society Pub Date : 2019-12-01 DOI: 10.1112/tlm3.12014
{"title":"Issue Information","authors":"","doi":"10.1112/tlm3.12014","DOIUrl":"https://doi.org/10.1112/tlm3.12014","url":null,"abstract":"","PeriodicalId":41208,"journal":{"name":"Transactions of the London Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1112/tlm3.12014","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46108296","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Almost uniform domains and Poincaré inequalities 几乎一致域与Poincaré不等式
IF 0.8
Transactions of the London Mathematical Society Pub Date : 2019-10-05 DOI: 10.1112/tlm3.12032
S. Eriksson-Bique, Jasun Gong
{"title":"Almost uniform domains and Poincaré inequalities","authors":"S. Eriksson-Bique, Jasun Gong","doi":"10.1112/tlm3.12032","DOIUrl":"https://doi.org/10.1112/tlm3.12032","url":null,"abstract":"Here we show existence of many subsets of Euclidean spaces that, despite having empty interior, still support Poincaré inequalities with respect to the restricted Lebesgue measure. Most importantly, despite the explicit constructions in our proofs, our methods do not depend on any rectilinear or self‐similar structure of the underlying space. We instead employ the uniform domain condition of Martio and Sarvas. This condition relies on the measure density of such subsets, as well as the regularity and relative separation of their boundary components.","PeriodicalId":41208,"journal":{"name":"Transactions of the London Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48331036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Pure point measures with sparse support and sparse Fourier–Bohr support 具有稀疏支持和稀疏傅立叶-玻尔支持的纯点测度
IF 0.8
Transactions of the London Mathematical Society Pub Date : 2019-08-01 DOI: 10.1112/tlm3.12020
M. Baake, Nicolae Strungaru, Venta Terauds
{"title":"Pure point measures with sparse support and sparse Fourier–Bohr support","authors":"M. Baake, Nicolae Strungaru, Venta Terauds","doi":"10.1112/tlm3.12020","DOIUrl":"https://doi.org/10.1112/tlm3.12020","url":null,"abstract":"Fourier‐transformable Radon measures are called doubly sparse when both the measure and its transform are pure point measures with sparse support. Their structure is reasonably well understood in Euclidean space, based on the use of tempered distributions. Here, we extend the theory to second countable, locally compact Abelian groups, where we can employ general cut and project schemes and the structure of weighted model combs, along with the theory of almost periodic measures. In particular, for measures with Meyer set support, we characterise sparseness of the Fourier–Bohr spectrum via conditions of crystallographic type, and derive representations of the measures in terms of trigonometric polynomials. More generally, we analyse positive definite, doubly sparse measures in a natural cut and project setting, which results in a Poisson summation type formula.","PeriodicalId":41208,"journal":{"name":"Transactions of the London Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1112/tlm3.12020","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49360164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Models of hyperelliptic curves with tame potentially semistable reduction 具有适度潜在半稳定归约的超椭圆曲线模型
IF 0.8
Transactions of the London Mathematical Society Pub Date : 2019-06-14 DOI: 10.1112/tlm3.12023
Omri Faraggi, S. Nowell
{"title":"Models of hyperelliptic curves with tame potentially semistable reduction","authors":"Omri Faraggi, S. Nowell","doi":"10.1112/tlm3.12023","DOIUrl":"https://doi.org/10.1112/tlm3.12023","url":null,"abstract":"Let C be a hyperelliptic curve y2=f(x) over a discretely valued field K . The p ‐adic distances between the roots of f(x) can be described by a completely combinatorial object known as the cluster picture. We show that the cluster picture of C , along with the leading coefficient of f and the action of Gal(K¯/K) on the roots of f , completely determines the combinatorics of the special fibre of the minimal strict normal crossings model of C . In particular, we give an explicit description of the special fibre in terms of this data.","PeriodicalId":41208,"journal":{"name":"Transactions of the London Mathematical Society","volume":"7 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2019-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1112/tlm3.12023","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45442540","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
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