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Annales Mathematiques du Quebec最新文献

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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
Correction to: Jordan domains with a rectifiable arc in their boundary 更正：边界上有可直弧的Jordan域
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2020-10-27 DOI: 10.1007/s40316-020-00148-0
Vasiliki Liontou, Vassili Nestoridis
{"title":"Correction to: Jordan domains with a rectifiable arc in their boundary","authors":"Vasiliki Liontou,&nbsp;Vassili Nestoridis","doi":"10.1007/s40316-020-00148-0","DOIUrl":"10.1007/s40316-020-00148-0","url":null,"abstract":"","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 1","pages":"51 - 51"},"PeriodicalIF":0.5,"publicationDate":"2020-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00148-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50518948","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
Growth of Selmer groups and fine Selmer groups in uniform pro-p extensions 一致pro-p扩展中Selmer群和精细Selmer群的生长
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2020-10-15 DOI: 10.1007/s40316-020-00147-1
Debanjana Kundu
{"title":"Growth of Selmer groups and fine Selmer groups in uniform pro-p extensions","authors":"Debanjana Kundu","doi":"10.1007/s40316-020-00147-1","DOIUrl":"10.1007/s40316-020-00147-1","url":null,"abstract":"<div><p>In this article, we study the growth of (fine) Selmer groups of elliptic curves in certain infinite Galois extensions where the Galois group <i>G</i> is a uniform, pro-<i>p</i>, <i>p</i>-adic Lie group. By comparing the growth of (fine) Selmer groups with that of class groups, we show that it is possible for the <span>(mu )</span>-invariant of the (fine) Selmer group to become arbitrarily large in a certain class of nilpotent, uniform, pro-<i>p</i> Lie extension. We also study the growth of fine Selmer groups in false Tate curve extensions.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 2","pages":"347 - 362"},"PeriodicalIF":0.5,"publicationDate":"2020-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00147-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41863150","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
Newton polygons of Hecke operators 赫克算子的牛顿多边形
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2020-10-13 DOI: 10.1007/s40316-020-00149-z
Liubomir Chiriac, Andrei Jorza
{"title":"Newton polygons of Hecke operators","authors":"Liubomir Chiriac,&nbsp;Andrei Jorza","doi":"10.1007/s40316-020-00149-z","DOIUrl":"10.1007/s40316-020-00149-z","url":null,"abstract":"<div><p>In this computational paper we verify a truncated version of the Buzzard–Calegari conjecture on the Newton polygon of the Hecke operator <span>(T_2)</span> for all large enough weights. We first develop a formula for computing <i>p</i>-adic valuations of exponential sums, which we then implement to compute 2-adic valuations of traces of Hecke operators acting on spaces of cusp forms. Finally, we verify that if Newton polygon of the Buzzard–Calegari polynomial has a vertex at <span>(nle 15)</span>, then it agrees with the Newton polygon of <span>(T_2)</span> up to <i>n</i>.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 2","pages":"271 - 290"},"PeriodicalIF":0.5,"publicationDate":"2020-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00149-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45704882","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
Correction to: Steiner symmetrization ((n-1)) times is sufficient to transform an ellipsoid to a ball in ({mathbb {R}}^{n}) 修正为：Steiner对称化（n-1））次足以在（｛mathbb｛R｝｝^｛n｝）中将椭球变换为球
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2020-09-21 DOI: 10.1007/s40316-020-00146-2
Yude Liu, Qiang Sun, Ge Xiong
{"title":"Correction to: Steiner symmetrization ((n-1)) times is sufficient to transform an ellipsoid to a ball in ({mathbb {R}}^{n})","authors":"Yude Liu,&nbsp;Qiang Sun,&nbsp;Ge Xiong","doi":"10.1007/s40316-020-00146-2","DOIUrl":"10.1007/s40316-020-00146-2","url":null,"abstract":"","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 1","pages":"229 - 230"},"PeriodicalIF":0.5,"publicationDate":"2020-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00146-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50503713","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 to: Steiner symmetrization $$(n-1)$$ ( n - 1 ) times is suff 修正:斯坦纳对称$$(n-1)$$ (n - 1)次是足够的
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2020-09-21 DOI: 10.1007/S40316-020-00146-2
Yude Liu, Qiang Sun, Ge Xiong
{"title":"Correction to: Steiner symmetrization \u0000 \u0000 \u0000 \u0000 $$(n-1)$$\u0000 \u0000 \u0000 (\u0000 n\u0000 -\u0000 1\u0000 )\u0000 \u0000 \u0000 times is suff","authors":"Yude Liu, Qiang Sun, Ge Xiong","doi":"10.1007/S40316-020-00146-2","DOIUrl":"https://doi.org/10.1007/S40316-020-00146-2","url":null,"abstract":"","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"1 1","pages":"229-230"},"PeriodicalIF":0.5,"publicationDate":"2020-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/S40316-020-00146-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52717132","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
Applications of Grothendieck’s inequality to linear symplectic geometry Grothendieck不等式在线性辛几何中的应用
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2020-08-25 DOI: 10.1007/s40316-020-00143-5
Efim Gluskin, Shira Tanny
{"title":"Applications of Grothendieck’s inequality to linear symplectic geometry","authors":"Efim Gluskin,&nbsp;Shira Tanny","doi":"10.1007/s40316-020-00143-5","DOIUrl":"10.1007/s40316-020-00143-5","url":null,"abstract":"<div><p>Recently in symplectic geometry there arose an interest in bounding various functionals on spaces of matrices. It appears that Grothendieck’s theorem about factorization is a useful tool for proving such bounds. In this note we present two such applications.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 1","pages":"239 - 247"},"PeriodicalIF":0.5,"publicationDate":"2020-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00143-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50511885","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
Limiting eigenfunctions of Sturm–Liouville operators subject to a spectral flow 谱流作用下Sturm-Liouville算子的极限特征函数
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2020-08-20 DOI: 10.1007/s40316-020-00142-6
Thomas Beck, Isabel Bors, Grace Conte, Graham Cox, Jeremy L. Marzuola
{"title":"Limiting eigenfunctions of Sturm–Liouville operators subject to a spectral flow","authors":"Thomas Beck,&nbsp;Isabel Bors,&nbsp;Grace Conte,&nbsp;Graham Cox,&nbsp;Jeremy L. Marzuola","doi":"10.1007/s40316-020-00142-6","DOIUrl":"10.1007/s40316-020-00142-6","url":null,"abstract":"<div><p>We examine the spectrum of a family of Sturm–Liouville operators with regularly spaced delta function potentials parametrized by increasing strength. The limiting behavior of the eigenvalues under this spectral flow was described by Berkolaiko et al. (Lett Math Phys 109(7):1611–1623, 2019), where it was used to study the nodal deficiency of Laplacian eigenfunctions. Here we consider the eigenfunctions of these operators. In particular, we give explicit formulas for the limiting eigenfunctions, and also characterize the eigenfunctions and eigenvalues for all values for the spectral flow parameter (not just in the limit). We also develop spectrally accurate numerical tools for comparison and visualization.</p></div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 2","pages":"249 - 269"},"PeriodicalIF":0.5,"publicationDate":"2020-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00142-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41785769","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 entropy norm on $${text {Ham}}(S^2)$$ Ham ( S 2 ) 关于$$（S^2）$$Ham（S2）的熵范数
IF 0.5
Annales Mathematiques du Quebec Pub Date : 2020-08-20 DOI: 10.1007/s40316-020-00144-4
Michael Brandenbursky, E. Shelukhin
{"title":"On the entropy norm on \u0000 \u0000 \u0000 \u0000 $${text {Ham}}(S^2)$$\u0000 \u0000 \u0000 Ham\u0000 (\u0000 \u0000 S\u0000 2\u0000 \u0000 )\u0000 ","authors":"Michael Brandenbursky, E. Shelukhin","doi":"10.1007/s40316-020-00144-4","DOIUrl":"https://doi.org/10.1007/s40316-020-00144-4","url":null,"abstract":"","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 1","pages":"231-237"},"PeriodicalIF":0.5,"publicationDate":"2020-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00144-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43510141","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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