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Annales Mathematiques du Quebec最新文献

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On a Rankin–Selberg integral of three Hermitian cusp forms 关于三个厄密尖形式的Rankin-Selberg积分
IF 0.8
Annales Mathematiques du Quebec Pub Date : 2026-09-03 DOI: 10.1007/s40316-026-00283-0
Thanasis Bouganis, Rafail Psyroukis
{"title":"On a Rankin–Selberg integral of three Hermitian cusp forms","authors":"Thanasis Bouganis,&nbsp;Rafail Psyroukis","doi":"10.1007/s40316-026-00283-0","DOIUrl":"10.1007/s40316-026-00283-0","url":null,"abstract":"<div><p>Let <span>(K = mathbb {Q}(i))</span>. We study the Petersson inner product of a Hermitian Eisenstein series of Siegel type on the unitary group <span>(U_{5}(K))</span>, diagonally-restricted on <span>(U_2(K)times U_2(K)times U_1(K))</span>, against two Hermitian cuspidal eigenforms <i>F</i>, <i>G</i> of degree 2 and an elliptic cuspidal eigenform <i>h</i> (seen as a Hermitian modular form of degree 1), all having weight <span>(k equiv 0 pmod 4)</span>. We obtain, through this consideration, an integral representation of a certain Dirichlet series, together with an additional residue term. By taking <i>F</i> to belong in the Maass space, we are able to show that the Dirichlet series possesses an Euler product. Moreover, its <i>p</i>-factor for an inert prime <i>p</i> can be essentially identified with the twist by <i>h</i> of a degree six Euler factor attached to <i>G</i> by Gritsenko. The question of whether the same holds for the primes that split remains unanswered here, even though we make considerable steps in that direction too. Our paper is inspired by a work of Heim, who considered a similar question in the case of Siegel modular forms.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"50 2","pages":"633 - 693"},"PeriodicalIF":0.8,"publicationDate":"2026-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-026-00283-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125559","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
Hopf-Galois module structure of degree p extensions of p-adic fields p进域p次扩展的Hopf-Galois模结构
IF 0.8
Annales Mathematiques du Quebec Pub Date : 2026-07-09 DOI: 10.1007/s40316-026-00275-0
Daniel Gil-Muñoz
{"title":"Hopf-Galois module structure of degree p extensions of p-adic fields","authors":"Daniel Gil-Muñoz","doi":"10.1007/s40316-026-00275-0","DOIUrl":"10.1007/s40316-026-00275-0","url":null,"abstract":"<div><p>Let <i>p</i> be an odd prime number. For a degree <i>p</i> extension of <i>p</i>-adic fields <i>L</i>/<i>K</i>, we give a complete characterization of the condition for the ring of integers <span>(mathcal {O}_L)</span> to be free as a module over its associated order in the unique Hopf-Galois structure on <i>L</i>/<i>K</i>.\u0000</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"50 2","pages":"527 - 567"},"PeriodicalIF":0.8,"publicationDate":"2026-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-026-00275-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149124610","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
Axiomatic sectional category, topological complexity, and homotopic distance 公理化截面范畴、拓扑复杂度和同伦距离
IF 0.8
Annales Mathematiques du Quebec Pub Date : 2026-06-09 DOI: 10.1007/s40316-026-00279-w
Jean-Paul Doeraene, Mohammed El Haouari
{"title":"Axiomatic sectional category, topological complexity, and homotopic distance","authors":"Jean-Paul Doeraene,&nbsp;Mohammed El Haouari","doi":"10.1007/s40316-026-00279-w","DOIUrl":"10.1007/s40316-026-00279-w","url":null,"abstract":"<div><p>Many of the properties of sectional category, topological complexity and homotopic distance are in fact derived from a small number of basic properties, which, once established, lead to all the others without further recourse to topology. On the other hand, there are several variants of these notions: with open covers or else Whitehead–Ganea constructions, also with spaces and maps that are unpointed or else pointed, fibrewise, equivariant, etc. or even with algebraic models of spaces and maps. These are two reasons why we build an axiomatic approach to all these notions, based on just three simple axioms. We also introduce the notion of ‘lifting category’ which unifies the notions of sectional category, topological complexity, and homotopic distance, all of which are special cases of lifting category.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"50 2","pages":"609 - 631"},"PeriodicalIF":0.8,"publicationDate":"2026-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125558","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 p-adic measures for quaternionic modular forms 四元数模形式的p进测度
IF 0.8
Annales Mathematiques du Quebec Pub Date : 2026-06-08 DOI: 10.1007/s40316-026-00277-y
Yubo Jin
{"title":"On p-adic measures for quaternionic modular forms","authors":"Yubo Jin","doi":"10.1007/s40316-026-00277-y","DOIUrl":"10.1007/s40316-026-00277-y","url":null,"abstract":"<div><p>The purpose of this paper is to study the special values of the standard <i>L</i>-functions for quaternionic modular forms using the doubling method. We obtain an integral representation for the <i>L</i>-function twisted by a character following the work of Böcherer–Schmidt [4] on Siegel modular forms. As an application, we construct the <i>p</i>-adic measure interpolating certain special <i>L</i>-values.\u0000</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"50 2","pages":"569 - 608"},"PeriodicalIF":0.8,"publicationDate":"2026-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125566","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
Axes for median isometries 坐标轴表示中位数等距
IF 0.8
Annales Mathematiques du Quebec Pub Date : 2026-05-25 DOI: 10.1007/s40316-026-00274-1
Frédéric Haglund
{"title":"Axes for median isometries","authors":"Frédéric Haglund","doi":"10.1007/s40316-026-00274-1","DOIUrl":"10.1007/s40316-026-00274-1","url":null,"abstract":"<div><p>Let <i>f</i> be an isometry of a median metric space. We show that if <i>f</i> attains its minimal displacement and no power of <i>f</i> has an <i>inversion</i> then <i>f</i> admits an axis. This generalizes to the median setting a result on isometries of <i>CAT</i>(0) cube complexes.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"50 2","pages":"511 - 526"},"PeriodicalIF":0.8,"publicationDate":"2026-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-026-00274-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125565","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
Arithmetic geometry of non-commutative spaces with large centres 大中心非交换空间的算术几何
IF 0.8
Annales Mathematiques du Quebec Pub Date : 2026-05-18 DOI: 10.1007/s40316-026-00272-3
Daniel Larsson
{"title":"Arithmetic geometry of non-commutative spaces with large centres","authors":"Daniel Larsson","doi":"10.1007/s40316-026-00272-3","DOIUrl":"10.1007/s40316-026-00272-3","url":null,"abstract":"<div><p>This paper introduces arithmetic geometry for polynomial identity algebras using non-commutative (formal) deformation theory. Since formal deformation theory is inherently local the arithmetic and geometric results that follow give local information that is not visible when looking at the objects from a commutative angle. For instance, it is a precise meaning to be given to two things being “infinitesimally close”, something being obscured from view when restricting only to a commutative algebraic study. A Platonesque way of looking at this is that the commutative world is a “shadow” of a more inclusive non-commutative universe. The present paper aims at laying the foundation for further and deeper study of algebraic number theory and geometry using non-commutative geometry and non-commutative deformation theory. As such we prove no deep theorems. Instead we strive to illustrate, for instance by supplying detailed examples, how non-commutative algebraic geometry can be used to view number-theoretic objects from a different perspective.\u0000</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"50 2","pages":"457 - 509"},"PeriodicalIF":0.8,"publicationDate":"2026-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-026-00272-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125561","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
Two new universal inequalities for Neumann eigenvalues of the Laplacian on a planar convex domain 平面凸域上拉普拉斯特征值的两个新的通用不等式
IF 0.8
Annales Mathematiques du Quebec Pub Date : 2026-04-28 DOI: 10.1007/s40316-026-00270-5
Kei Funano
{"title":"Two new universal inequalities for Neumann eigenvalues of the Laplacian on a planar convex domain","authors":"Kei Funano","doi":"10.1007/s40316-026-00270-5","DOIUrl":"10.1007/s40316-026-00270-5","url":null,"abstract":"<div><p>We establish two new universal inequalities for Neumann eigenvalues of the Laplacian on a planar convex domain.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"50 2","pages":"431 - 437"},"PeriodicalIF":0.8,"publicationDate":"2026-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125564","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
Algèbres différentielles de formes quasi-Jacobi d’indice nul 零指数拟雅可比形式的微分代数
IF 0.8
Annales Mathematiques du Quebec Pub Date : 2026-04-21 DOI: 10.1007/s40316-026-00267-0
François Dumas, François Martin, Emmanuel Royer
{"title":"Algèbres différentielles de formes quasi-Jacobi d’indice nul","authors":"François Dumas,&nbsp;François Martin,&nbsp;Emmanuel Royer","doi":"10.1007/s40316-026-00267-0","DOIUrl":"10.1007/s40316-026-00267-0","url":null,"abstract":"<div><p>The notion of double depth associated with quasi-Jacobi forms allows distinguishing, within the algebra <span>(textrm{JS}^{infty })</span> of quasi-Jacobi singular forms of index zero, certain significant subalgebras (modular-type forms, elliptic-type forms, Jacobi forms). We study the stability of these subalgebras under the derivations of <span>(textrm{JS}^{infty })</span> and through certain sequences of bidifferential operators constituting analogs of Rankin–Cohen brackets or transvectants.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"50 2","pages":"375 - 404"},"PeriodicalIF":0.8,"publicationDate":"2026-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149124611","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
Geometrization of p-adic characters of (mathbb {Z}_{p}) 的p进特征的几何化 (mathbb {Z}_{p})
IF 0.8
Annales Mathematiques du Quebec Pub Date : 2026-04-15 DOI: 10.1007/s40316-026-00271-4
Yufan Luo
{"title":"Geometrization of p-adic characters of (mathbb {Z}_{p})","authors":"Yufan Luo","doi":"10.1007/s40316-026-00271-4","DOIUrl":"10.1007/s40316-026-00271-4","url":null,"abstract":"<div><p>We present two geometrizations for the group of <i>p</i>-adic characters of the additive group of the ring <span>(mathbb {Z}_{p})</span> of <i>p</i>-adic integers. The first geometrization is realized via certain étale sheaves on the Witt ring scheme. The second is constructed in terms of certain quasi-coherent sheaves, equipped with an additional structure, on the formal completion of the Witt ring scheme along its special fiber.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"50 2","pages":"439 - 455"},"PeriodicalIF":0.8,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125560","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
An exact family of bivariate polynomials and variants of Chinburg’s Conjectures 二元多项式的精确族和Chinburg猜想的变体
IF 0.8
Annales Mathematiques du Quebec Pub Date : 2026-03-22 DOI: 10.1007/s40316-026-00266-1
Marie-José Bertin, Mahya Mehrabdollahei
{"title":"An exact family of bivariate polynomials and variants of Chinburg’s Conjectures","authors":"Marie-José Bertin,&nbsp;Mahya Mehrabdollahei","doi":"10.1007/s40316-026-00266-1","DOIUrl":"10.1007/s40316-026-00266-1","url":null,"abstract":"<div><p>This article provides partial solutions to Chinburg’s conjectures by studying a sequence of multivariate polynomials. These conjectures assert that for every odd quadratic Dirichlet character of conductor <i>f</i>, <span>(chi _{-f}=left( frac{-f}{.}right) )</span>, there exists a bivariate polynomial (or a rational function in the weak version) whose Mahler measure is a rational multiple of <span>(L'(chi _{-f},-1))</span>. We prove that the Mahler measure of a polynomial family, denoted by <span>(P_d)</span>, can be expressed as a linear combination of the derivatives of Dirichlet <i>L</i>-functions. Specifically, this family provides solutions to the conjectures for conductors <span>(f=3,4,8,15,20)</span>, and 24. We further generalize Chinburg’s conjectures from real primitive odd Dirichlet characters to all primitive odd characters. For this generalized version, the polynomials <span>(P_d)</span> provide solutions for conductors 5, 7, and 9.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"50 2","pages":"351 - 373"},"PeriodicalIF":0.8,"publicationDate":"2026-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-026-00266-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149125562","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
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