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Annales Mathematiques du Quebec最新文献

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Einstein metrics, conformal curvature, and anti-holomorphic involutions 爱因斯坦度量、共形曲率和反全纯对合
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2021-02-19 DOI: 10.1007/s40316-020-00154-2
Claude LeBrun
{"title":"Einstein metrics, conformal curvature, and anti-holomorphic involutions","authors":"Claude LeBrun","doi":"10.1007/s40316-020-00154-2","DOIUrl":"10.1007/s40316-020-00154-2","url":null,"abstract":"<div><p>Building on previous results [17, 35], we complete the classification of compact oriented Einstein 4-manifolds with <span>(det (W^+) &gt; 0)</span>. There are, up to diffeomorphism, exactly 15 manifolds that carry such metrics, and, on each of these manifolds, such metrics sweep out exactly one connected component of the corresponding Einstein moduli space.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 2","pages":"391 - 405"},"PeriodicalIF":0.5,"publicationDate":"2021-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00154-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50456146","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
Stark points on elliptic curves via Perrin-Riou’s philosophy 从Perrin Riou哲学看椭圆曲线上的Stark点
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2021-02-15 DOI: 10.1007/s40316-021-00158-6
Henri Darmon, Alan Lauder
{"title":"Stark points on elliptic curves via Perrin-Riou’s philosophy","authors":"Henri Darmon,&nbsp;Alan Lauder","doi":"10.1007/s40316-021-00158-6","DOIUrl":"10.1007/s40316-021-00158-6","url":null,"abstract":"<div><p>In the early 90’s, Perrin-Riou (Ann Inst Fourier 43(4):945–995, 1993) introduced an important refinement of the Mazur–Swinnerton-Dyer <i>p</i>-adic <i>L</i>-function of an elliptic curve <i>E</i> over <span>(mathbb {Q})</span>, taking values in its <i>p</i>-adic de Rham cohomology. She then formulated a <i>p</i>-adic analogue of the Birch and Swinnerton-Dyer conjecture for this <i>p</i>-adic <i>L</i>-function, in which the formal group logarithms of global points on <i>E</i> make an intriguing appearance. The present work extends Perrin-Riou’s construction to the setting of a Garret–Rankin triple product (<i>f</i>, <i>g</i>, <i>h</i>), where <i>f</i> is a cusp form of weight two attached to <i>E</i> and <i>g</i> and <i>h</i> are classical weight one cusp forms with inverse nebentype characters, corresponding to odd two-dimensional Artin representations <span>(varrho _g)</span> and <span>(varrho _h)</span> respectively. The resulting <i>p</i>-adic Birch and Swinnerton-Dyer conjecture involves the <i>p</i>-adic logarithms of global points on <i>E</i> defined over the field cut out by <span>(varrho _gotimes varrho _h)</span>, in the style of the regulators that arise in Darmon et al. (Forum Math <b>3</b>(e8):95, 2015), and recovers Perrin-Riou’s original conjecture when <i>g</i> and <i>h</i> are Eisenstein series.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"47 1","pages":"31 - 48"},"PeriodicalIF":0.5,"publicationDate":"2021-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-021-00158-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49589370","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: 2
On the Robin spectrum for the hemisphere 关于半球的Robin谱
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2021-01-21 DOI: 10.1007/s40316-021-00155-9
Zeév Rudnick, Igor Wigman
{"title":"On the Robin spectrum for the hemisphere","authors":"Zeév Rudnick,&nbsp;Igor Wigman","doi":"10.1007/s40316-021-00155-9","DOIUrl":"10.1007/s40316-021-00155-9","url":null,"abstract":"<div><p>We study the spectrum of the Laplacian on the hemisphere with Robin boundary conditions. It is found that the eigenvalues fall into small clusters close to the Neumann spectrum, and satisfy a Szegő type limit theorem. Sharp upper and lower bounds for the gaps between the Robin and Neumann eigenvalues are derived, showing in particular that these are unbounded. Further, it is shown that except for a systematic double multiplicity, there are no multiplicities in the spectrum as soon as the Robin parameter is positive, unlike the Neumann case which is highly degenerate. Finally, the limiting spacing distribution of the desymmetrized spectrum is proved to be the delta function at the origin.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"46 1","pages":"121 - 137"},"PeriodicalIF":0.5,"publicationDate":"2021-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-021-00155-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50502243","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
On abelian (ell )-towers of multigraphs 一个蜜蜂的多图塔
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2021-01-15 DOI: 10.1007/s40316-020-00152-4
Daniel Vallières
{"title":"On abelian (ell )-towers of multigraphs","authors":"Daniel Vallières","doi":"10.1007/s40316-020-00152-4","DOIUrl":"10.1007/s40316-020-00152-4","url":null,"abstract":"<div><p>We study how the <span>(ell )</span>-adic valuation of the number of spanning trees varies in regular abelian <span>(ell )</span>-towers of multigraphs. We show that for an infinite family of regular abelian <span>(ell )</span>-towers of bouquets, the <span>(ell )</span>-adic valuation of the number of spanning trees behaves similarly to the <span>(ell )</span>-adic valuation of the class numbers in <span>({mathbb {Z}}_{ell })</span>-extensions of number fields.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 2","pages":"433 - 452"},"PeriodicalIF":0.5,"publicationDate":"2021-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00152-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50483148","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
On abelian ℓdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$ell $$end{document}-towers of multigraphs On abelian ℓdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$ell $$end{document}-towers of multigraphs
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2021-01-15 DOI: 10.1007/s40316-020-00152-4
Daniel Vallières
{"title":"On abelian ℓdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$ell $$end{document}-towers of multigraphs","authors":"Daniel Vallières","doi":"10.1007/s40316-020-00152-4","DOIUrl":"https://doi.org/10.1007/s40316-020-00152-4","url":null,"abstract":"","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 1","pages":"433 - 452"},"PeriodicalIF":0.5,"publicationDate":"2021-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00152-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47390624","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: 6
(text {SL}(n)) covariant vector-valued valuations on (L^{p})-spaces （L^｛p｝）-空间上的（text｛SL｝（n））协变向量值
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2021-01-08 DOI: 10.1007/s40316-020-00153-3
Wei Wang, Rigao He, Lijuan Liu
{"title":"(text {SL}(n)) covariant vector-valued valuations on (L^{p})-spaces","authors":"Wei Wang,&nbsp;Rigao He,&nbsp;Lijuan Liu","doi":"10.1007/s40316-020-00153-3","DOIUrl":"10.1007/s40316-020-00153-3","url":null,"abstract":"<div><h2>Sommaire</h2><div><p>A complete classification of continuous <span>(text {SL}(n))</span> covariant vector-valued valuations on <span>(L^{p}({mathbb {R}}^{n},|x|dx))</span> is obtained without any homogeneity assumptions. The moment vector is shown to be essentially the only such valuation.</p></div></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 2","pages":"465 - 486"},"PeriodicalIF":0.5,"publicationDate":"2021-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00153-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50462553","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
Well-posedness of Hersch–Szegő’s center of mass by hyperbolic energy minimization Hersch–Szegõ质心的双曲能量极小化适定性
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2021-01-08 DOI: 10.1007/s40316-020-00151-5
R. S. Laugesen
{"title":"Well-posedness of Hersch–Szegő’s center of mass by hyperbolic energy minimization","authors":"R. S. Laugesen","doi":"10.1007/s40316-020-00151-5","DOIUrl":"10.1007/s40316-020-00151-5","url":null,"abstract":"<div><p>The hyperbolic center of mass of a finite measure on the unit ball with respect to a radially increasing weight is shown to exist, be unique, and depend continuously on the measure. Prior results of this type are extended by characterizing the center of mass as the minimum point of an energy functional that is strictly convex along hyperbolic geodesics. A special case is Hersch’s center of mass lemma on the sphere, which follows from convexity of a logarithmic kernel introduced by Douady and Earle.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 2","pages":"363 - 390"},"PeriodicalIF":0.5,"publicationDate":"2021-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00151-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50462552","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
SL(n)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$text {SL}(n)$$end{document} covariant vector-valued valuations SL(n)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$text {SL}(n)$$end{document} covariant vector-valued valuations
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2021-01-08 DOI: 10.1007/s40316-020-00153-3
Wei Wang, Rigao He, Lijuan Liu
{"title":"SL(n)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$text {SL}(n)$$end{document} covariant vector-valued valuations ","authors":"Wei Wang, Rigao He, Lijuan Liu","doi":"10.1007/s40316-020-00153-3","DOIUrl":"https://doi.org/10.1007/s40316-020-00153-3","url":null,"abstract":"","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 1","pages":"465 - 486"},"PeriodicalIF":0.5,"publicationDate":"2021-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00153-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52717159","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
Local $$L^p$$ L p norms of Schrödinger eigenfunctions on $${ma $${ma上Schrödinger特征函数的局部$$L^p$$ L p范数
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2020-12-15 DOI: 10.1007/S40316-021-00167-5
Gabriel Rivière
{"title":"Local \u0000 \u0000 \u0000 \u0000 $$L^p$$\u0000 \u0000 \u0000 L\u0000 p\u0000 \u0000 \u0000 norms of Schrödinger eigenfunctions on \u0000 \u0000 \u0000 \u0000 $${ma","authors":"Gabriel Rivière","doi":"10.1007/S40316-021-00167-5","DOIUrl":"https://doi.org/10.1007/S40316-021-00167-5","url":null,"abstract":"","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"46 1","pages":"93-119"},"PeriodicalIF":0.5,"publicationDate":"2020-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S40316-021-00167-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49088893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Galois coinvariants of the unramified Iwasawa modules of multiple (mathbb {Z}_p)-extensions 多个$$mathbb的未分支Iwasawa模的Galois协变{Z}_p$$-扩展
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2020-11-11 DOI: 10.1007/s40316-020-00150-6
Takashi Miura, Kazuaki Murakami, Keiji Okano, Rei Otsuki
{"title":"Galois coinvariants of the unramified Iwasawa modules of multiple (mathbb {Z}_p)-extensions","authors":"Takashi Miura,&nbsp;Kazuaki Murakami,&nbsp;Keiji Okano,&nbsp;Rei Otsuki","doi":"10.1007/s40316-020-00150-6","DOIUrl":"10.1007/s40316-020-00150-6","url":null,"abstract":"<div><p>For a CM-field <i>K</i> and an odd prime number <i>p</i>, let <span>(widetilde{K}')</span> be a certain multiple <span>(mathbb {Z}_p)</span>-extension of <i>K</i>. In this paper, we study several basic properties of the unramified Iwasawa module <span>(X_{widetilde{K}'})</span> of <span>(widetilde{K}')</span> as a <span>(mathbb {Z}_pllbracket mathrm{Gal}(widetilde{K}'/K)rrbracket )</span>-module. Our first main result is a description of the order of a Galois coinvariant of <span>(X_{widetilde{K}'})</span> in terms of the characteristic power series of the unramified Iwasawa module of the cyclotomic <span>(mathbb {Z}_p)</span>-extension of <i>K</i> under a certain assumption on the splitting of primes above <i>p</i>. The second result is that if <i>K</i> is an imaginary quadratic field and if <i>p</i> does not split in <i>K</i>, then, under several assumptions on the Iwasawa <span>(lambda )</span>-invariant and the ideal class group of <i>K</i>, we determine a necessary and sufficient condition such that <span>(X_{widetilde{K}})</span> is <span>(mathbb {Z}_pllbracket mathrm{Gal}(widetilde{K}/K)rrbracket )</span>-cyclic. Here, <span>(widetilde{K})</span> is the <span>(mathbb {Z}_p^2)</span>-extension of <i>K</i>.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 2","pages":"407 - 431"},"PeriodicalIF":0.5,"publicationDate":"2020-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00150-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43688038","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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