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Annales Mathematiques du Quebec最新文献

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Estimates for low Steklov eigenvalues of surfaces with several boundary components
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2024-03-26 DOI: 10.1007/s40316-024-00221-y
Hélène Perrin
{"title":"Estimates for low Steklov eigenvalues of surfaces with several boundary components","authors":"Hélène Perrin","doi":"10.1007/s40316-024-00221-y","DOIUrl":"10.1007/s40316-024-00221-y","url":null,"abstract":"<p>In this article, we give computable lower bounds for the first non-zero Steklov eigenvalue <span>(sigma _1)</span> of a compact connected 2-dimensional Riemannian manifold <i>M</i> with several cylindrical boundary components. These estimates show how the geometry of <i>M</i> away from the boundary affects this eigenvalue. They involve geometric quantities specific to manifolds with boundary such as the extrinsic diameter of the boundary. In a second part, we give lower and upper estimates for the low Steklov eigenvalues of a hyperbolic surface with a geodesic boundary in terms of the length of some families of geodesics. This result is similar to a well known result of Schoen, Wolpert and Yau for Laplace eigenvalues on a closed hyperbolic surface.</p>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"49 1","pages":"165 - 184"},"PeriodicalIF":0.5,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-024-00221-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143848945","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Thin Monodromy in (textrm{O}(5)) Thin Monodromy in （textrm{O}(5))
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2024-03-25 DOI: 10.1007/s40316-024-00222-x
Jitendra Bajpai, Martin Nitsche
{"title":"Thin Monodromy in (textrm{O}(5))","authors":"Jitendra Bajpai,&nbsp;Martin Nitsche","doi":"10.1007/s40316-024-00222-x","DOIUrl":"10.1007/s40316-024-00222-x","url":null,"abstract":"<p>This article studies the orthogonal hypergeometric groups of degree five. We establish the thinness of 12 out of the 19 hypergeometric groups of type <i>O</i>(3, 2) from [4, Table 6]. Some of these examples are associated with Calabi-Yau 4-folds. We also establish the thinness of 9 out of the 17 hypergeometric groups of type <i>O</i>(4, 1) from [13], where the thinness of 7 other cases was already proven. The <i>O</i>(4, 1) type groups were predicted to be all thin and our result leaves just one case open.</p>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 2","pages":"349 - 360"},"PeriodicalIF":0.5,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-024-00222-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413739","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Note sur les périodes d’Iwasawa associées à un (upvarphi )-module filtré
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2024-03-16 DOI: 10.1007/s40316-024-00224-9
Bernadette Perrin-Riou
{"title":"Note sur les périodes d’Iwasawa associées à un (upvarphi )-module filtré","authors":"Bernadette Perrin-Riou","doi":"10.1007/s40316-024-00224-9","DOIUrl":"10.1007/s40316-024-00224-9","url":null,"abstract":"<div><p>We associate to a filtered <span>(varphi )</span>-module <span>(mathcal {D})</span> a sub-<span>(mathbb Z_p[[x]])</span>-module of convergent series on the open unit disk in which the <i>p</i>-adic <i>L</i>-functions of the Galois representation associated to <span>(mathcal {D})</span> live (if they exist). This generalizes the already known case where <span>(mathcal {D})</span> is of dimension 2, for example associated to an elliptic curve or a modular form.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"49 1","pages":"185 - 214"},"PeriodicalIF":0.5,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143848946","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
Some stability results of positive mass theorem for uniformly asymptotically flat 3-manifolds 均匀渐近平坦 3-manifolds 的正质量定理的若干稳定性结果
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2024-03-14 DOI: 10.1007/s40316-024-00226-7
Conghan Dong
{"title":"Some stability results of positive mass theorem for uniformly asymptotically flat 3-manifolds","authors":"Conghan Dong","doi":"10.1007/s40316-024-00226-7","DOIUrl":"10.1007/s40316-024-00226-7","url":null,"abstract":"<div><p>In this paper, we show that for a sequence of orientable complete uniformly asymptotically flat 3-manifolds <span>((M_i, g_i))</span> with nonnegative scalar curvature and ADM mass <span>(m(g_i))</span> tending to zero, by subtracting some open subsets <span>(Z_i)</span>, whose boundary area satisfies <span>(textrm{Area}(partial Z_i) le C m(g_i)^{frac{1}{2}- varepsilon })</span>, for any base point <span>(p_i in M_i{setminus } Z_i)</span>, <span>((M_i{setminus } Z_i, g_i, p_i))</span> converges to the Euclidean space <span>(({mathbb {R}}^3, g_E, 0))</span> in the <span>(C^0)</span> modulo negligible volume sense. Moreover, if we assume that the Ricci curvature is uniformly bounded from below, then <span>((M_i, g_i, p_i))</span> converges to <span>(({mathbb {R}}^3, g_E, 0))</span> in the pointed Gromov–Hausdorff topology.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 2","pages":"427 - 451"},"PeriodicalIF":0.5,"publicationDate":"2024-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411832","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
Sharp upper bounds for Steklov eigenvalues of a hypersurface of revolution with two boundary components in Euclidean space 欧几里得空间中具有两个边界分量的旋转超曲面的斯特克洛夫特征值的尖锐上限
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2024-03-06 DOI: 10.1007/s40316-024-00225-8
Léonard Tschanz
{"title":"Sharp upper bounds for Steklov eigenvalues of a hypersurface of revolution with two boundary components in Euclidean space","authors":"Léonard Tschanz","doi":"10.1007/s40316-024-00225-8","DOIUrl":"10.1007/s40316-024-00225-8","url":null,"abstract":"<p>We investigate the question of sharp upper bounds for the Steklov eigenvalues of a hypersurface of revolution in Euclidean space with two boundary components, each isometric to <span>({mathbb {S}}^{n-1})</span>. For the case of the first non zero Steklov eigenvalue, we give a sharp upper bound <span>(B_n(L))</span> (that depends only on the dimension <span>(n ge 3)</span> and the meridian length <span>(L&gt;0)</span>) which is reached by a degenerated metric <span>(g^*)</span> that we compute explicitly. We also give a sharp upper bound <span>(B_n)</span> which depends only on <i>n</i>. Our method also permits us to prove some stability properties of these upper bounds.</p>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 2","pages":"489 - 518"},"PeriodicalIF":0.5,"publicationDate":"2024-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-024-00225-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Growth rates of Laplace eigenfunctions on the unit disk 单位圆盘上拉普拉斯本征函数的增长率
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2023-08-03 DOI: 10.1007/s40316-023-00219-y
Guillaume Lavoie, Guillaume Poliquin
{"title":"Growth rates of Laplace eigenfunctions on the unit disk","authors":"Guillaume Lavoie,&nbsp;Guillaume Poliquin","doi":"10.1007/s40316-023-00219-y","DOIUrl":"10.1007/s40316-023-00219-y","url":null,"abstract":"<div><p>We give a description of the growth rates of <span>(L^2)</span>-normalized Laplace eigenfunctions on the unit disk with Dirichlet and Neumann boundary conditions. In particular, we show that the growth rates of both Dirichlet and Neumann eigenfunctions are bounded away from zero. Our approach starts with P. Sarnak growth exponents and uses several key asymptotic formulas for Bessel functions or their zeros.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 2","pages":"407 - 425"},"PeriodicalIF":0.5,"publicationDate":"2023-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49600503","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
On the group of (omega ^{k})-preserving diffeomorphisms 关于保留微分同胚的$$omega^｛k｝$$群
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2023-08-02 DOI: 10.1007/s40316-023-00220-5
Habib Alizadeh
{"title":"On the group of (omega ^{k})-preserving diffeomorphisms","authors":"Habib Alizadeh","doi":"10.1007/s40316-023-00220-5","DOIUrl":"10.1007/s40316-023-00220-5","url":null,"abstract":"<div><p>We show that if a diffeomorphism of a symplectic manifold <span>((M^{2n},omega ))</span> preserves the form <span>(omega ^{k})</span> for <span>(0&lt; k &lt; n)</span> and is connected to identity through such diffeomorphisms then it is indeed a symplectomorphism.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 2","pages":"477 - 487"},"PeriodicalIF":0.5,"publicationDate":"2023-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45225625","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
A formal model of Coleman families and applications to Iwasawa invariants Coleman族的形式模型及其在Iwasawa不变量中的应用
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2023-07-06 DOI: 10.1007/s40316-023-00217-0
Filippo Alberto Edoardo Nuccio Mortarino Majno di Capriglio, Tadashi Ochiai, Jishnu Ray
{"title":"A formal model of Coleman families and applications to Iwasawa invariants","authors":"Filippo Alberto Edoardo Nuccio Mortarino Majno di Capriglio,&nbsp;Tadashi Ochiai,&nbsp;Jishnu Ray","doi":"10.1007/s40316-023-00217-0","DOIUrl":"10.1007/s40316-023-00217-0","url":null,"abstract":"<div><p>For a given Coleman family of modular forms, we construct a formal model and prove the existence of a family of Galois representations associated to the Coleman family. As an application, we study the variations of Iwasawa <span>(lambda )</span>- and <span>(mu )</span>-invariants of dual fine (strict) Selmer groups over the cyclotomic <span>(mathbb {Z}_p)</span>-extension of <span>(mathbb {Q})</span> in Coleman families of modular forms. This generalizes an earlier work of Jha and Sujatha for Hida families.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 2","pages":"453 - 475"},"PeriodicalIF":0.5,"publicationDate":"2023-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43356566","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
La matrice de logarithme en termes de chiffres p-adiques 以 p-adic 数表示的对数矩阵
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2023-06-21 DOI: 10.1007/s40316-023-00215-2
Florian Sprung
{"title":"La matrice de logarithme en termes de chiffres p-adiques","authors":"Florian Sprung","doi":"10.1007/s40316-023-00215-2","DOIUrl":"10.1007/s40316-023-00215-2","url":null,"abstract":"<div><p>We give a new description of the logarithm matrix of a modular form in terms of distributions, generalizing the work of Dion and Lei for the case <span>(a_p=0)</span>. What allows us to include the case <span>(a_pne 0)</span> is a new definition, that of a distribution matrix, and the characterization of this matrix by <i>p</i>-adic digits. One can apply these methods to the corresponding case of distributions in multiple variables.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 2","pages":"519 - 529"},"PeriodicalIF":0.5,"publicationDate":"2023-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136355876","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
Optimal bounds for Neumann eigenvalues in terms of the diameter 以直径表示的诺伊曼特征值的最优界
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2023-06-10 DOI: 10.1007/s40316-023-00218-z
Antoine Henrot, Marco Michetti
{"title":"Optimal bounds for Neumann eigenvalues in terms of the diameter","authors":"Antoine Henrot,&nbsp;Marco Michetti","doi":"10.1007/s40316-023-00218-z","DOIUrl":"10.1007/s40316-023-00218-z","url":null,"abstract":"<div><p>In this paper, we obtain optimal upper bounds for all the Neumann eigenvalues in two situations (that are closely related). First we consider a one-dimensional Sturm–Liouville eigenvalue problem where the density is a function <i>h</i>(<i>x</i>) whose some power is concave. We prove existence of a maximizer for <span>(mu _k(h))</span> and we completely characterize it. Then we consider the Neumann eigenvalues (for the Laplacian) of a domain <span>(Omega subset {mathbb {R}}^d)</span> of given diameter and we assume that its profile function (defined as the <span>(d-1)</span> dimensional measure of the slices orthogonal to a diameter) has also some power that is concave. This includes the case of convex domains in <span>({mathbb {R}}^d)</span>, containing and generalizing previous results by P. Kröger. On the other hand, in the last section, we give examples of domains for which the upper bound fails to be true, showing that, in general, <span>(sup D^2(Omega )mu _k(Omega )= +infty )</span>.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 2","pages":"277 - 308"},"PeriodicalIF":0.5,"publicationDate":"2023-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41645422","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
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