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Annales Mathematiques du Quebec最新文献

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A p-adic Maass–Shimura operator on Mumford curves Mumford曲线上的p-adic Maas–Shimura算子
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2022-02-27 DOI: 10.1007/s40316-022-00193-x
Matteo Longo
{"title":"A p-adic Maass–Shimura operator on Mumford curves","authors":"Matteo Longo","doi":"10.1007/s40316-022-00193-x","DOIUrl":"10.1007/s40316-022-00193-x","url":null,"abstract":"<div><p>We study a <i>p</i>-adic Maass–Shimura operator in the context of Mumford curves defined by [15]. We prove that this operator arises from a splitting of the Hodge filtration, thus answering a question in [15]. We also study the relation of this operator with generalized Heegner cycles, in the spirit of [1, 4, 19, 28].</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"47 1","pages":"139 - 175"},"PeriodicalIF":0.5,"publicationDate":"2022-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-022-00193-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42361957","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
On abelian (ell )-towers of multigraphs III 关于阿贝尔$$ell$$ℓ -多图塔III
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2022-02-16 DOI: 10.1007/s40316-022-00194-w
Kevin McGown, Daniel Vallières
{"title":"On abelian (ell )-towers of multigraphs III","authors":"Kevin McGown,&nbsp;Daniel Vallières","doi":"10.1007/s40316-022-00194-w","DOIUrl":"10.1007/s40316-022-00194-w","url":null,"abstract":"<div><p>Let <span>(ell )</span> be a rational prime. Previously, abelian <span>(ell )</span>-towers of multigraphs were introduced which are analogous to <span>(mathbb {Z}_{ell })</span>-extensions of number fields. It was shown that for towers of bouquets, the growth of the <span>(ell )</span>-part of the number of spanning trees behaves in a predictable manner (analogous to a well-known theorem of Iwasawa for <span>(mathbb {Z}_{ell })</span>-extensions of number fields). In this paper, we extend this result to abelian <span>(ell )</span>-towers over an arbitrary connected multigraph (not necessarily simple and not necessarily regular). In order to carry this out, we employ integer-valued polynomials to construct power series with coefficients in <span>(mathbb {Z}_ell )</span> arising from cyclotomic number fields, different than the power series appearing in the prequel. This allows us to study the special value at <span>(u=1)</span> of the Artin–Ihara <i>L</i>-function, when the base multigraph is not necessarily a bouquet.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 1","pages":"1 - 19"},"PeriodicalIF":0.5,"publicationDate":"2022-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45347802","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
Extended graph 4-manifolds, and Einstein metrics 扩展图4流形和Einstein度量
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2022-02-03 DOI: 10.1007/s40316-021-00192-4
Luca F. Di Cerbo
{"title":"Extended graph 4-manifolds, and Einstein metrics","authors":"Luca F. Di Cerbo","doi":"10.1007/s40316-021-00192-4","DOIUrl":"10.1007/s40316-021-00192-4","url":null,"abstract":"<div><p>We show that extended graph 4-manifolds (as defined by Frigerio–Lafont–Sisto in [12]) do not support Einstein metrics.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"48 1","pages":"269 - 276"},"PeriodicalIF":0.5,"publicationDate":"2022-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44498126","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
Correction : Les schémas de subdivision de Besicovitch et de Cantor 修正：Besicovitch和Cantor细分图
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2022-01-23 DOI: 10.1007/s40316-021-00190-6
Serge Dubuc
{"title":"Correction : Les schémas de subdivision de Besicovitch et de Cantor","authors":"Serge Dubuc","doi":"10.1007/s40316-021-00190-6","DOIUrl":"10.1007/s40316-021-00190-6","url":null,"abstract":"","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"47 2","pages":"495 - 498"},"PeriodicalIF":0.5,"publicationDate":"2022-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50507654","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
Plus/minus p-adic L-functions for (mathrm {GL}_{2n}) （mathrm）的加/减p-adic L-函数{GL}_｛2n｝）
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2022-01-18 DOI: 10.1007/s40316-021-00191-5
Rob Rockwood
{"title":"Plus/minus p-adic L-functions for (mathrm {GL}_{2n})","authors":"Rob Rockwood","doi":"10.1007/s40316-021-00191-5","DOIUrl":"10.1007/s40316-021-00191-5","url":null,"abstract":"<div><p>We generalise Pollack’s construction of plus/minus L-functions to certain cuspidal automorphic representations of <span>(mathrm {GL_{2n}})</span> using the <i>p</i>-adic <i>L</i>-functions constructed in work of Barrera Salazar et al. (On <i>p</i>-adic <i>l</i>-functions for <span>(text {GL}_{2n})</span> in finite slope shalika families, 2021). We use these to prove that the complex <i>L</i>-functions of such representations vanish at at most finitely many twists by characters of <i>p</i>-power conductor.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"47 1","pages":"177 - 193"},"PeriodicalIF":0.5,"publicationDate":"2022-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-021-00191-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50493153","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
Various formulations and approximations of incompressible fluid motions in porous media 多孔介质中不可压缩流体运动的各种公式和近似
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2022-01-17 DOI: 10.1007/s40316-021-00178-2
Yann Brenier
{"title":"Various formulations and approximations of incompressible fluid motions in porous media","authors":"Yann Brenier","doi":"10.1007/s40316-021-00178-2","DOIUrl":"10.1007/s40316-021-00178-2","url":null,"abstract":"<div><p>We first recall various formulations and approximations for the motion of an incompressible fluid, in the well-known setting of the Euler equations. Then, we address incompressible motions in porous media, through the Muskat system, which is a friction dominated first order analog of the Euler equations for inhomogeneous incompressible fluids subject to an external potential.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"46 1","pages":"195 - 206"},"PeriodicalIF":0.5,"publicationDate":"2022-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45249371","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
Special issue in honour of Alexander Shnirelman’s 75th birthday 纪念亚历山大·施尼尔曼75岁生日特刊
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2022-01-09 DOI: 10.1007/s40316-021-00189-z
Dmitry Jakobson, Boris Khesin, Iosif Polterovich
{"title":"Special issue in honour of Alexander Shnirelman’s 75th birthday","authors":"Dmitry Jakobson,&nbsp;Boris Khesin,&nbsp;Iosif Polterovich","doi":"10.1007/s40316-021-00189-z","DOIUrl":"10.1007/s40316-021-00189-z","url":null,"abstract":"","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"46 1","pages":"1 - 2"},"PeriodicalIF":0.5,"publicationDate":"2022-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50465479","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
P-adic L-functions in universal deformation families 泛变形族中的p进l函数
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2021-12-13 DOI: 10.1007/s40316-021-00187-1
David Loeffler
{"title":"P-adic L-functions in universal deformation families","authors":"David Loeffler","doi":"10.1007/s40316-021-00187-1","DOIUrl":"10.1007/s40316-021-00187-1","url":null,"abstract":"<div><p>We construct examples of <i>p</i>-adic <i>L</i>-functions over universal deformation spaces for <span>({{,mathrm{GL},}}_2)</span>. We formulate a conjecture predicting that the natural parameter spaces for <i>p</i>-adic <i>L</i>-functions and Euler systems are not the usual eigenvarieties (parametrising nearly-ordinary families of automorphic representations), but other, larger spaces depending on a choice of a parabolic subgroup, which we call ‘big parabolic eigenvarieties’.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"47 1","pages":"117 - 137"},"PeriodicalIF":0.5,"publicationDate":"2021-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-021-00187-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41686659","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: 7
Aut-invariant quasimorphisms on free products 自由积上的非不变拟同态
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2021-12-03 DOI: 10.1007/s40316-021-00184-4
Bastien Karlhofer
{"title":"Aut-invariant quasimorphisms on free products","authors":"Bastien Karlhofer","doi":"10.1007/s40316-021-00184-4","DOIUrl":"10.1007/s40316-021-00184-4","url":null,"abstract":"<div><p>Let <span>(G=A *B)</span> be a free product of freely indecomposable groups. We explicitly construct quasimorphisms on <i>G</i> which are invariant with respect to all automorphisms of <i>G</i>. We also prove that the space of such quasimorphisms is infinite-dimensional whenever <i>G</i> is not the infinite dihedral group. As an application we prove that an invariant analogue of stable commutator length recently introduced by Kawasaki and Kimura is non-trivial for these groups.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"47 2","pages":"475 - 493"},"PeriodicalIF":0.5,"publicationDate":"2021-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-021-00184-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46865053","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: 4
Trace singularities in obstacle scattering and the Poisson relation for the relative trace 障碍散射中的迹奇异性及相对迹的Poisson关系
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2021-11-25 DOI: 10.1007/s40316-021-00188-0
Yan-Long Fang, Alexander Strohmaier
{"title":"Trace singularities in obstacle scattering and the Poisson relation for the relative trace","authors":"Yan-Long Fang,&nbsp;Alexander Strohmaier","doi":"10.1007/s40316-021-00188-0","DOIUrl":"10.1007/s40316-021-00188-0","url":null,"abstract":"<div><p>We consider the case of scattering by several obstacles in <span>({mathbb {R}}^d)</span>, <span>(d ge 2)</span> for the Laplace operator <span>(Delta )</span> with Dirichlet boundary conditions imposed on the obstacles. In the case of two obstacles, we have the Laplace operators <span>(Delta _1)</span> and <span>(Delta _2)</span> obtained by imposing Dirichlet boundary conditions only on one of the objects. The relative operator <span>(g(Delta ) - g(Delta _1) - g(Delta _2) + g(Delta _0))</span> was introduced in Hanisch, Waters and one of the authors in (A relative trace formula for obstacle scattering. arXiv:2002.07291, 2020) and shown to be trace-class for a large class of functions <i>g</i>, including certain functions of polynomial growth. When <i>g</i> is sufficiently regular at zero and fast decaying at infinity then, by the Birman–Krein formula, this trace can be computed from the relative spectral shift function <span>(xi _mathrm {rel}(lambda ) = -frac{1}{pi } {text {Im}}(Xi (lambda )))</span>, where <span>(Xi (lambda ))</span> is holomorphic in the upper half-plane and fast decaying. In this paper we study the wave-trace contributions to the singularities of the Fourier transform of <span>(xi _mathrm {rel})</span>. In particular we prove that <span>({hat{xi }}_mathrm {rel})</span> is real-analytic near zero and we relate the decay of <span>(Xi (lambda ))</span> along the imaginary axis to the first wave-trace invariant of the shortest bouncing ball orbit between the obstacles. The function <span>(Xi (lambda ))</span> is important in the physics of quantum fields as it determines the Casimir interactions between the objects.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"46 1","pages":"55 - 75"},"PeriodicalIF":0.5,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40316-021-00188-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50514308","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: 1
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