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Non-algebraizable neighborhoods of curves 曲线的不可代数邻域
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2025-01-07 DOI: 10.1007/s10231-024-01542-z
Maycol Falla Luza, Frank Loray, Paulo Sad
{"title":"Non-algebraizable neighborhoods of curves","authors":"Maycol Falla Luza,&nbsp;Frank Loray,&nbsp;Paulo Sad","doi":"10.1007/s10231-024-01542-z","DOIUrl":"10.1007/s10231-024-01542-z","url":null,"abstract":"<div><p>We provide several families of compact complex curves embedded in smooth complex surfaces such that no neighborhood of the curve can be embedded in an algebraic surface. Different constructions are proposed, by patching neighborhoods of curves in projective surfaces, and blowing down exceptional curves. These constructions generalize examples recently given by S. Lvovski. One of our non algebraic argument is based on an extension theorem of S. Ivashkovich.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 4","pages":"1657 - 1666"},"PeriodicalIF":0.9,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163067","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Higher rank prioritary bundles on ruled surfaces and their global sections 直纹曲面上的高阶先验束及其全局截面
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2025-01-04 DOI: 10.1007/s10231-024-01541-0
L. Costa, I. Macías Tarrío
{"title":"Higher rank prioritary bundles on ruled surfaces and their global sections","authors":"L. Costa,&nbsp;I. Macías Tarrío","doi":"10.1007/s10231-024-01541-0","DOIUrl":"10.1007/s10231-024-01541-0","url":null,"abstract":"<div><p>Let <i>X</i> be a ruled surface over a nonsingular curve <i>C</i> of genus <span>(gge 0)</span>. The main goal of this paper is to construct simple prioritary vector bundles of any rank <i>r</i> on <i>X</i> and to give effective bounds for the dimension of their module of global sections.\u0000</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 4","pages":"1633 - 1655"},"PeriodicalIF":0.9,"publicationDate":"2025-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01541-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161617","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of solutions semilinear parabolic equations with singular initial data in the Heisenberg group 海森堡群中初始数据奇异的半线性抛物方程解的存在性
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-12-31 DOI: 10.1007/s10231-024-01539-8
The Anh Bui, Kotaro Hisa
{"title":"Existence of solutions semilinear parabolic equations with singular initial data in the Heisenberg group","authors":"The Anh Bui,&nbsp;Kotaro Hisa","doi":"10.1007/s10231-024-01539-8","DOIUrl":"10.1007/s10231-024-01539-8","url":null,"abstract":"<div><p>In this paper we obtain necessary conditions and sufficient conditions on the initial data for the solvability of fractional semilinear heat equations with power nonlinearities in the Heisenberg group <span>(mathbb {H}^N)</span>. Using these conditions, we can prove that <span>(1+2/Q)</span> separates the ranges of exponents of nonlinearities for the global-in-time solvability of the Cauchy problem (so-called the Fujita-exponent), where <span>(Q=2N+2)</span> is the homogeneous dimension of <span>(mathbb {H}^N)</span>, and identify the optimal strength of the singularity of the initial data for the local-in-time solvability. Furthermore, our conditions lead sharp estimates of the life span of solutions with nonnegative initial data having a polynomial decay at the space infinity.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 4","pages":"1561 - 1601"},"PeriodicalIF":0.9,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global solutions of Euler–Maxwell equations with dissipation 具有耗散的Euler-Maxwell方程的全局解
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-12-31 DOI: 10.1007/s10231-024-01538-9
Bernard Ducomet, Šárka Nečasová, John Sebastian H. Simon
{"title":"Global solutions of Euler–Maxwell equations with dissipation","authors":"Bernard Ducomet,&nbsp;Šárka Nečasová,&nbsp;John Sebastian H. Simon","doi":"10.1007/s10231-024-01538-9","DOIUrl":"10.1007/s10231-024-01538-9","url":null,"abstract":"<div><p>We consider the Cauchy problem for a damped Euler–Maxwell system with no ionic background. For smooth enough data satisfying suitable so-called dispersive conditions, we establish the global in time existence and uniqueness of a strong solution that decays uniformly in time. Our method is inspired by the works of D. Serre and M. Grassin dedicated to the compressible Euler system.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 4","pages":"1541 - 1559"},"PeriodicalIF":0.9,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01538-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Compactness of extremals for singular Moser–Trudinger functionals in high dimension 高维奇异Moser-Trudinger泛函极值的紧致性
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-12-26 DOI: 10.1007/s10231-024-01530-3
Xianfeng Su, Rulong Xie, Xiaomeng Li
{"title":"Compactness of extremals for singular Moser–Trudinger functionals in high dimension","authors":"Xianfeng Su,&nbsp;Rulong Xie,&nbsp;Xiaomeng Li","doi":"10.1007/s10231-024-01530-3","DOIUrl":"10.1007/s10231-024-01530-3","url":null,"abstract":"<div><p>The main purpose of this note is to study the compactness of extremals for the singular Moser-Trudinger inequality. More precisely, let <span>(Omega subset {mathbb {R}}^n)</span>, <span>(nge 2)</span>, be a bounded open smooth domain and <span>(0in Omega )</span>, <span>(W^{1,n}_{0}(Omega ))</span> be the standard Sobolev space. For <span>(epsilon in [0,1))</span>, Csato-Roy-Nguyen [J. Diff. Equ. 270:843–882, 2021] proved that the following singular Moser-Trudinger inequality </p><div><div><span>$$begin{aligned} sup _{uin W_0^{1,n}(Omega ),,int _{Omega }|nabla u|^ndxle 1}int _{Omega }frac{e^{alpha _n(1-epsilon )|u|^{frac{n}{n-1}}}-1 }{|x|^{nepsilon }}dx end{aligned}$$</span></div></div><p>can be achieved by a nonnegative function <span>(u_epsilon in W^{1,n}_{0}(Omega ))</span> with <span>(int _{Omega }|nabla u_epsilon |^n dxle 1)</span>. Here <span>(alpha _{n}=n omega _{n-1}^{1/(n-1)})</span> with <span>(omega _{n-1})</span> being the surface area of the <span>((n-1))</span>-dimensional unit sphere.</p><p>Relying on above result, by blow-up analysis, we consider the compactness of function family <span>({u_epsilon }_{0&lt;epsilon &lt;1})</span> and prove, up to a subsequence, <span>(u_epsilon rightarrow u_0)</span> in <span>(W^{1,n}_0(Omega )cap C^0({overline{Omega }})cap C_{textrm{loc}}^{1}({overline{Omega }}{setminus }{0}))</span> as <span>(epsilon rightarrow 0)</span>, where <span>(u_0)</span> is an extremal function of the following supremum </p><div><div><span>$$begin{aligned} sup _{uin W_0^{1,n}(Omega ),,int _{Omega }|nabla u|^ndxle 1}int _{Omega }(e^{alpha _n|u|^{frac{n}{n-1}}}-1)dx. end{aligned}$$</span></div></div></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 4","pages":"1357 - 1379"},"PeriodicalIF":0.9,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal pinwheel partitions and pinwheel solutions to a nonlinear Schrödinger system 非线性Schrödinger系统的最佳风车分区和风车解
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-12-18 DOI: 10.1007/s10231-024-01534-z
Mónica Clapp, Alberto Saldaña, Mayra Soares, Vctor A. Vicente-Bentez
{"title":"Optimal pinwheel partitions and pinwheel solutions to a nonlinear Schrödinger system","authors":"Mónica Clapp,&nbsp;Alberto Saldaña,&nbsp;Mayra Soares,&nbsp;Vctor A. Vicente-Bentez","doi":"10.1007/s10231-024-01534-z","DOIUrl":"10.1007/s10231-024-01534-z","url":null,"abstract":"<div><p>We establish the existence of a solution to a nonlinear competitive Schrödinger system whose scalar potential tends to a positive constant at infinity with an appropriate rate. This solution has the property that all components are invariant under the action of a group of linear isometries and each component is obtained from the previous one by composing it with some fixed linear isometry. We call it a <i>pinwheel solution</i>. We describe the asymptotic behavior of the least energy pinwheel solutions when the competing parameter tends to zero and to minus infinity. In the latter case the components are segregated and give rise to an optimal <i>pinwheel partition</i> for the Schrödinger equation, that is, a partition formed by invariant sets that are mutually isometric through a fixed isometry.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 4","pages":"1443 - 1468"},"PeriodicalIF":0.9,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Jacobi operator of some special minimal hypersurfaces 一些特殊极小超曲面的Jacobi算子
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-12-17 DOI: 10.1007/s10231-024-01536-x
Oscar Agudelo, Matteo Rizzi
{"title":"The Jacobi operator of some special minimal hypersurfaces","authors":"Oscar Agudelo,&nbsp;Matteo Rizzi","doi":"10.1007/s10231-024-01536-x","DOIUrl":"10.1007/s10231-024-01536-x","url":null,"abstract":"<div><p>In this work we discuss stability and nondegeneracy properties of some special families of minimal hypersurfaces embedded in <span>(mathbb {R}^mtimes mathbb {R}^n)</span> with <span>(m,nge 2)</span>. These hypersurfaces are asymptotic at infinity to a fixed Lawson cone <span>(C_{m,n})</span>. In the case <span>(m+nge 8)</span>, we show that such hypersurfaces are strictly stable and we provide a full classification of their bounded Jacobi fields, which in turn allows us to prove the non-degeneracy of such surfaces. In the case <span>(m+nle 7)</span>, we prove that such hypersurfaces have infinite Morse index.\u0000</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 4","pages":"1493 - 1524"},"PeriodicalIF":0.9,"publicationDate":"2024-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166185","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bounds on Dao numbers and applications to regular local rings 刀数的界及其在正则局部环中的应用
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-12-17 DOI: 10.1007/s10231-024-01537-w
Antonino Ficarra, Cleto B. Miranda-Neto, Douglas S. Queiroz
{"title":"Bounds on Dao numbers and applications to regular local rings","authors":"Antonino Ficarra,&nbsp;Cleto B. Miranda-Neto,&nbsp;Douglas S. Queiroz","doi":"10.1007/s10231-024-01537-w","DOIUrl":"10.1007/s10231-024-01537-w","url":null,"abstract":"<div><p>The so-called Dao numbers are a sort of measure of the asymptotic behaviour of full properties of certain product ideals in a Noetherian local ring <i>R</i> with infinite residue field and positive depth. In this paper, we answer a question of H. Dao on how to bound such numbers. The auxiliary tools range from Castelnuovo–Mumford regularity of appropriate graded structures to reduction numbers of the maximal ideal. In particular, we substantially improve previous results (and answer questions) by the authors. Finally, as an application of the theory of Dao numbers, we provide new characterizations of when <i>R</i> is regular; for instance, we show that this holds if and only if the maximal ideal of <i>R</i> can be generated by a <i>d</i>-sequence (in the sense of Huneke) if and only if the third Dao number of any (minimal) reduction of the maximal ideal vanishes.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 4","pages":"1525 - 1539"},"PeriodicalIF":0.9,"publicationDate":"2024-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Special non-Kähler metrics on Endo–Pajitnov manifolds Endo-Pajitnov流形上的特殊non-Kähler度量
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-12-16 DOI: 10.1007/s10231-024-01533-0
Cristian Ciulică, Alexandra Otiman, Miron Stanciu
{"title":"Special non-Kähler metrics on Endo–Pajitnov manifolds","authors":"Cristian Ciulică,&nbsp;Alexandra Otiman,&nbsp;Miron Stanciu","doi":"10.1007/s10231-024-01533-0","DOIUrl":"10.1007/s10231-024-01533-0","url":null,"abstract":"<div><p>We investigate the metric and cohomological properties of higher dimensional analogues of Inoue surfaces, that were introduced by Endo and Pajitnov. We provide a solvmanifold structure and show that in the diagonalizable case, they are formal and have invariant de Rham cohomology. Moreover, we obtain an arithmetic and cohomological characterization of pluriclosed and astheno-Kähler metrics and show they give new examples in all complex dimensions.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 4","pages":"1425 - 1441"},"PeriodicalIF":0.9,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Counting function estimates for coherent frames and Riesz sequences 相干帧和Riesz序列的计数函数估计。
IF 0.9 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-12-15 DOI: 10.1007/s10231-024-01535-y
Effie Papageorgiou, Jordy Timo van Velthoven
{"title":"Counting function estimates for coherent frames and Riesz sequences","authors":"Effie Papageorgiou,&nbsp;Jordy Timo van Velthoven","doi":"10.1007/s10231-024-01535-y","DOIUrl":"10.1007/s10231-024-01535-y","url":null,"abstract":"<div><p>We prove various estimates for the asymptotics of counting functions associated to point sets of coherent frames and Riesz sequences. The obtained results recover the necessary density conditions for coherent frames and Riesz sequences for general unimodular amenable groups, while providing more precise estimates under additional localization conditions on the coherent system for groups of polynomial growth. \u0000</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 4","pages":"1469 - 1491"},"PeriodicalIF":0.9,"publicationDate":"2024-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12259773/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144648401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","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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