发布求助
文献互助 智能选刊 最新文献

Annali di Matematica Pura ed Applicata最新文献

筛选
英文 中文
Hilbert polynomial of length functions
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-06-19 DOI: 10.1007/s10231-024-01474-8
Antongiulio Fornasiero
{"title":"Hilbert polynomial of length functions","authors":"Antongiulio Fornasiero","doi":"10.1007/s10231-024-01474-8","DOIUrl":"10.1007/s10231-024-01474-8","url":null,"abstract":"<div><p>Let <span>(lambda )</span> be a general length function for modules over a Noetherian ring R. We use <span>(lambda )</span> to introduce Hilbert series and polynomials for R[X]-modules, measuring the growth rate of <span>(lambda )</span>. We show that the leading term <span>(mu )</span> of the Hilbert polynomial is an invariant of the module, which refines both the algebraic entropy and the receptive algebraic entropy; its degree is a suitable notion of dimension for <i>R</i>[<i>X</i>]-modules. Similar to algebraic entropy, <span>(mu )</span> in general is not additive for exact sequences of <i>R</i>[<i>X</i>]-modules: we demonstrate how to adapt certain entropy constructions to this new invariant. We also consider multi-variate versions of the Hilbert polynomial.\u0000</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 1","pages":"73 - 116"},"PeriodicalIF":1.0,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01474-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143423423","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
Quasianalyticity of (L^p)-functions on Riemannian symmetric spaces of noncompact type 非紧凑型黎曼对称空间上 $$L^p$$ 函数的类alyticity
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-06-12 DOI: 10.1007/s10231-024-01471-x
Rudra P. Sarkar
{"title":"Quasianalyticity of (L^p)-functions on Riemannian symmetric spaces of noncompact type","authors":"Rudra P. Sarkar","doi":"10.1007/s10231-024-01471-x","DOIUrl":"10.1007/s10231-024-01471-x","url":null,"abstract":"<div><p>A result of Chernoff gives sufficient condition for an <span>(L^2)</span>-function on <span>({mathbb { R}}^n)</span> to be quasi-analytic, in the sense that the function and all its derivatives cannot vanish at a point. This is a generalization of the classical Denjoy–Carleman theorem on <span>({mathbb { R}})</span> and of the subsequent works on <span>({mathbb { R}}^n)</span> by Bochner and Taylor. In this note we endeavour to obtain an exact analogue of the result of Chernoff for <span>(L^p, pin [1,2])</span> functions on the Riemannian symmetric spaces of noncompact type. No restriction on the rank of the symmetric spaces and no condition on the symmetry of the functions is assumed.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 1","pages":"21 - 38"},"PeriodicalIF":1.0,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141354099","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
Stratified steady inviscid water flows with effects of surface tension and constant non-zero vorticity 具有表面张力和恒定非零涡度效应的分层稳定不粘性水流
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-06-11 DOI: 10.1007/s10231-024-01472-w
Nataliia Kolun
{"title":"Stratified steady inviscid water flows with effects of surface tension and constant non-zero vorticity","authors":"Nataliia Kolun","doi":"10.1007/s10231-024-01472-w","DOIUrl":"10.1007/s10231-024-01472-w","url":null,"abstract":"<div><p>In this paper we consider steady inviscid three-dimensional stratified water flows of finite depth with a free surface and an interface. The interface plays the role of an internal wave that separates two layers of constant and different density. We study two cases separately: when the free surface and the interface are functions of one variable and when the free surface and the interface are functions of two variables. In both cases, considering effects of surface tension, we prove that the bounded solutions to the three-dimensional equations are essentially two-dimensional. More specifically, assuming that the vorticity vectors in the two layers are constant, non-vanishing and parallel to each other we prove that their third coordinate vanishes in both layers. Also we prove that the free surface, the interface, the pressure and the velocity field present no variations in the direction orthogonal to the direction of motion.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 1","pages":"39 - 52"},"PeriodicalIF":1.0,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01472-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141355801","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
Stratified ocean gyres with Stuart-type vortices 带有斯图尔特型漩涡的分层海洋涡旋
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-06-05 DOI: 10.1007/s10231-024-01469-5
Qixing Ding, Luigi Roberti
{"title":"Stratified ocean gyres with Stuart-type vortices","authors":"Qixing Ding,&nbsp;Luigi Roberti","doi":"10.1007/s10231-024-01469-5","DOIUrl":"10.1007/s10231-024-01469-5","url":null,"abstract":"<div><p>In the setting of the thin-shell approximation of the Euler equations in spherical coordinates for oceanic flows with variable density on the spinning Earth, we study a vorticity equation for a pseudo stream function <span>(psi )</span>, whereby the assumption of incompressibility allows us to express the density as a function of <span>(psi )</span>. Via an elliptic comparison argument, we show that, under certain assumptions, the (explicit) solution in the case of zero rate of rotation (i.e., on a fixed sphere) in a bounded region with smooth boundary contained either in the Northern or in the Southern Hemisphere is an approximation, in a suitable sense, of the corresponding solution of the equation with positive rate of rotation in the same region. This provides new insight into the dynamics of ocean gyres.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2847 - 2862"},"PeriodicalIF":1.0,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01469-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141382607","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
The Gehring–Hayman type theorem on pseudoconvex domains of finite type in (mathbb {C}^2) 关于 $$mathbb {C}^2$ 中有限类型伪凸域的 Gehring-Hayman 型定理
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-06-05 DOI: 10.1007/s10231-024-01466-8
Haichou Li, Xingsi Pu, Hongyu Wang
{"title":"The Gehring–Hayman type theorem on pseudoconvex domains of finite type in (mathbb {C}^2)","authors":"Haichou Li,&nbsp;Xingsi Pu,&nbsp;Hongyu Wang","doi":"10.1007/s10231-024-01466-8","DOIUrl":"10.1007/s10231-024-01466-8","url":null,"abstract":"<div><p>In this paper, we obtain the Gehring–Hayman type theorem on smoothly bounded pseudoconvex domains of finite type in <span>(mathbb {C}^2)</span>. As an application, we provide a quantitative comparison between global and local Kobayashi distances near a boundary point for these domains. \u0000</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2785 - 2799"},"PeriodicalIF":1.0,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01466-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141383485","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
Extensions of extremal Kähler submanifolds of complex projective spaces 复杂投影空间的极值凯勒子满域的扩展
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-06-04 DOI: 10.1007/s10231-024-01468-6
Chao Li
{"title":"Extensions of extremal Kähler submanifolds of complex projective spaces","authors":"Chao Li","doi":"10.1007/s10231-024-01468-6","DOIUrl":"10.1007/s10231-024-01468-6","url":null,"abstract":"<div><p>In this paper we show that every connected extremal Kähler submanifold of a complex projective space has a natural extension which is a complete Kähler manifold and admits a holomorphic isometric immersion into the same ambient space. We also give an application to study the scalar curvatures of extremal Hypersurfaces of complex projective spaces.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2825 - 2845"},"PeriodicalIF":1.0,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01468-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142452929","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
Carleman estimates for third order operators of KdV and non KdV-type and applications KdV 和非 KdV 型三阶算子的卡勒曼估计及其应用
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-06-04 DOI: 10.1007/s10231-024-01467-7
Serena Federico
{"title":"Carleman estimates for third order operators of KdV and non KdV-type and applications","authors":"Serena Federico","doi":"10.1007/s10231-024-01467-7","DOIUrl":"10.1007/s10231-024-01467-7","url":null,"abstract":"<div><p>In this paper we study a class of variable coefficient third order partial differential operators on <span>({mathbb {R}}^{n+1})</span>, containing, as a subclass, some variable coefficient operators of KdV-type in any space dimension. For such a class, as well as for the adjoint class, we obtain a Carleman estimate and the local solvability at any point of <span>({mathbb {R}}^{n+1})</span>. A discussion of possible applications in the context of dispersive equations is provided.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2801 - 2823"},"PeriodicalIF":1.0,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01467-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141258080","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
Bridgeland stability conditions on normal surfaces 正常表面的布里奇兰稳定性条件
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-20 DOI: 10.1007/s10231-024-01460-0
Adrian Langer
{"title":"Bridgeland stability conditions on normal surfaces","authors":"Adrian Langer","doi":"10.1007/s10231-024-01460-0","DOIUrl":"10.1007/s10231-024-01460-0","url":null,"abstract":"<div><p>We prove a new version of Bogomolov’s inequality on normal proper surfaces. This allows to construct Bridgeland’s stability condition on such surfaces. In particular, this gives the first known examples of stability conditions on non-projective, proper schemes.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2653 - 2664"},"PeriodicalIF":1.0,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01460-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142452871","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 for doubly nonlinear fractional p-Laplacian equations 双非线性分数 p-Laplacian 方程的存在性
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-13 DOI: 10.1007/s10231-024-01453-z
Nobuyuki Kato, Masashi Misawa, Kenta Nakamura, Yoshihiko Yamaura
{"title":"Existence for doubly nonlinear fractional p-Laplacian equations","authors":"Nobuyuki Kato,&nbsp;Masashi Misawa,&nbsp;Kenta Nakamura,&nbsp;Yoshihiko Yamaura","doi":"10.1007/s10231-024-01453-z","DOIUrl":"10.1007/s10231-024-01453-z","url":null,"abstract":"<div><p>We prove the existence of a global-in-time weak solution to a doubly nonlinear parabolic fractional <i>p</i>-Laplacian equation, which has general double nonlinearity including not only the Sobolev subcritical/critical/supercritical cases but also the slow/homogenous/fast diffusion ones. Our proof exploits the weak convergence method for the doubly nonlinear fractional <i>p</i>-Laplace operator.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2481 - 2527"},"PeriodicalIF":1.0,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142452937","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
Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands 具有等效各向同性和的紧凑同质空间上的等效向量
IF 1 3区 数学
Annali di Matematica Pura ed Applicata Pub Date : 2024-05-13 DOI: 10.1007/s10231-024-01464-w
Brian Grajales, Lino Grama
{"title":"Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands","authors":"Brian Grajales,&nbsp;Lino Grama","doi":"10.1007/s10231-024-01464-w","DOIUrl":"10.1007/s10231-024-01464-w","url":null,"abstract":"<div><p>In this paper, we investigate equigeodesics on a compact homogeneous space <span>(M=G/H.)</span> We introduce a formula for the identification of equigeodesic vectors only relying on the isotropy representation of <i>M</i> and the Lie structure of the Lie algebra of <i>G</i>. Applications to <i>M</i>-spaces are also discussed.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"203 6","pages":"2741 - 2768"},"PeriodicalIF":1.0,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01464-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142452938","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信