发布求助
文献互助 智能选刊 最新文献

Acta Mathematica Vietnamica最新文献

筛选
英文 中文
Measured Foliations and Hilbert 12th Problem 测叶与Hilbert第12问题
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2022-06-09 DOI: 10.1007/s40306-022-00479-w
Igor V. Nikolaev
{"title":"Measured Foliations and Hilbert 12th Problem","authors":"Igor V. Nikolaev","doi":"10.1007/s40306-022-00479-w","DOIUrl":"10.1007/s40306-022-00479-w","url":null,"abstract":"<div><p>Yu. I. Manin conjectured that the maximal abelian extensions of the real quadratic number fields are generated by the pseudo-lattices with real multiplication. We prove this conjecture using theory of measured foliations on the modular curves.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"48 2","pages":"271 - 281"},"PeriodicalIF":0.5,"publicationDate":"2022-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40306-022-00479-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50466089","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
Discrete Fourier-Jacobi Transform and Generalized Lipschitz Classes 离散傅立叶-雅可比变换与广义Lipschitz类
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2022-05-03 DOI: 10.1007/s40306-022-00478-x
El Mehdi Loualid, Abdelghani Elgargati, Radouan Daher
{"title":"Discrete Fourier-Jacobi Transform and Generalized Lipschitz Classes","authors":"El Mehdi Loualid,&nbsp;Abdelghani Elgargati,&nbsp;Radouan Daher","doi":"10.1007/s40306-022-00478-x","DOIUrl":"10.1007/s40306-022-00478-x","url":null,"abstract":"<div><p>In this paper, we use the methods of Fourier-Jacobi harmonic analysis to generalize Boas-type results. We give necessary and sufficient conditions in terms of the Fourier-Jacobi coefficients of a function <i>f</i> in order to ensure that it belongs either to one of the generalized Lipschitz classes <span>({H}_{alpha }^{m})</span> and <span>({h}_{alpha }^{m})</span> for <i>α</i> &gt; 0.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"48 2","pages":"259 - 269"},"PeriodicalIF":0.5,"publicationDate":"2022-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40306-022-00478-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42693595","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: 2
Problems About Torsors over Regular Rings 关于正则环上的Torsors问题
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2022-04-04 DOI: 10.1007/s40306-022-00477-y
Kęstutis Česnavičius
{"title":"Problems About Torsors over Regular Rings","authors":"Kęstutis Česnavičius","doi":"10.1007/s40306-022-00477-y","DOIUrl":"10.1007/s40306-022-00477-y","url":null,"abstract":"<div><p>We overview a web of conjectures about torsors under reductive groups over regular rings and survey some techniques that have been used for making progress on such problems.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"47 1","pages":"39 - 107"},"PeriodicalIF":0.5,"publicationDate":"2022-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46190096","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: 10
Brill-Noether Conjecture on Cactus Graphs Cactus图的Brill-Noether猜想
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2022-03-14 DOI: 10.1007/s40306-021-00475-6
Phan Thi Ha Duong
{"title":"Brill-Noether Conjecture on Cactus Graphs","authors":"Phan Thi Ha Duong","doi":"10.1007/s40306-021-00475-6","DOIUrl":"10.1007/s40306-021-00475-6","url":null,"abstract":"<div><p>We give a proof of the combinatorial Brill-Noether conjecture for cactus graphs. This conjecture was formulated by Baker in 2008 when studying the interaction between algebraic curves theory and graph theory. By analyzing the treelike structure of cactus graphs, we produce a construction proof that is based on the Chip Firing Game theory.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"47 4","pages":"833 - 845"},"PeriodicalIF":0.5,"publicationDate":"2022-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49061959","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
Formal Partial Derivatives and the Commutativity of Squaring Operations 形式偏导数与平方运算的交换性
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2022-02-26 DOI: 10.1007/s40306-021-00473-8
Nguyễn Đ. Ngà, N. A. Tuấn
{"title":"Formal Partial Derivatives and the Commutativity of Squaring Operations","authors":"Nguyễn Đ. Ngà, N. A. Tuấn","doi":"10.1007/s40306-021-00473-8","DOIUrl":"https://doi.org/10.1007/s40306-021-00473-8","url":null,"abstract":"","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"47 1","pages":"269 - 277"},"PeriodicalIF":0.5,"publicationDate":"2022-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52714304","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
Formal Partial Derivatives and the Commutativity of Squaring Operations 形式偏导数与平方运算的交换性
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2022-02-26 DOI: 10.1007/s40306-021-00473-8
Nguyễn Đ. Ngà, Ngô A. Tuấn
{"title":"Formal Partial Derivatives and the Commutativity of Squaring Operations","authors":"Nguyễn Đ. Ngà,&nbsp;Ngô A. Tuấn","doi":"10.1007/s40306-021-00473-8","DOIUrl":"10.1007/s40306-021-00473-8","url":null,"abstract":"<div><p>We introduce the notion of (formal) partial derivative and develop an application of it to get a new proof for the commutativity of the classical squaring and the Kameko squaring.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"47 1","pages":"269 - 277"},"PeriodicalIF":0.5,"publicationDate":"2022-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50514507","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
The DG Products of Peeva and Srinivasan Coincide Peeva和Srinivasan的DG产品一致
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2022-02-23 DOI: 10.1007/s40306-021-00474-7
Keller VandeBogert
{"title":"The DG Products of Peeva and Srinivasan Coincide","authors":"Keller VandeBogert","doi":"10.1007/s40306-021-00474-7","DOIUrl":"10.1007/s40306-021-00474-7","url":null,"abstract":"<div><p>Consider the ideal <span>((x_{1} , dotsc , x_{n})^{d} subseteq k[x_{1} , dotsc , x_{n}])</span>, where <i>k</i> is any field. This ideal can be resolved by both the <i>L</i>-complexes of Buchsbaum and Eisenbud, and the Eliahou-Kervaire resolution. Both of these complexes admit the structure of an associative DG algebra, and it is a question of Peeva as to whether these DG structures coincide in general. In this paper, we construct an isomorphism of complexes between the aforementioned complexes that is also an isomorphism of algebras with their respective products, thus giving an affirmative answer to Peeva’s question.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"47 4","pages":"817 - 832"},"PeriodicalIF":0.5,"publicationDate":"2022-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43622190","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
The First Hilbert Coefficient of Stretched Ideals 拉伸理想的第一希尔伯特系数
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2022-02-12 DOI: 10.1007/s40306-021-00470-x
Kazuho Ozeki
{"title":"The First Hilbert Coefficient of Stretched Ideals","authors":"Kazuho Ozeki","doi":"10.1007/s40306-021-00470-x","DOIUrl":"10.1007/s40306-021-00470-x","url":null,"abstract":"<div><p>In this paper, we explore the almost Cohen-Macaulayness of the associated graded ring of stretched <span>({mathfrak m})</span>-primary ideals with small first Hilbert coefficient in a Cohen-Macaulay local ring <span>((A,{mathfrak m}))</span>. In particular, we explore the structure of stretched <span>({mathfrak m})</span>-primary ideals satisfying the equality e<sub>1</sub>(<i>I</i>) = e<sub>0</sub>(<i>I</i>) − <i>ℓ</i><sub><i>A</i></sub>(<i>A</i>/<i>I</i>) + 4, where e<sub>0</sub>(<i>I</i>) and e<sub>1</sub>(<i>I</i>) denote the multiplicity and the first Hilbert coefficient, respectively.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"47 1","pages":"251 - 267"},"PeriodicalIF":0.5,"publicationDate":"2022-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50473841","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
Gromov’s Oka Principle, Fiber Bundles and the Conformal Module Gromov的Oka原理、光纤束和保形模
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2022-01-31 DOI: 10.1007/s40306-021-00452-z
Burglind Jöricke
{"title":"Gromov’s Oka Principle, Fiber Bundles and the Conformal Module","authors":"Burglind Jöricke","doi":"10.1007/s40306-021-00452-z","DOIUrl":"10.1007/s40306-021-00452-z","url":null,"abstract":"<div><p>The conformal module of conjugacy classes of braids is an invariant that appeared earlier than the entropy of conjugacy classes of braids, and is inversely proportional to the entropy. Using the relation between the two invariants, we give a short conceptional proof of an earlier result on the conformal module. Mainly, we consider situations, when the conformal module of conjugacy classes of braids serves as obstruction for the existence of homotopies (or isotopies) of smooth objects involving braids to the respective holomorphic objects, and present theorems on the restricted validity of Gromov’s Oka principle in these situations.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"47 2","pages":"375 - 440"},"PeriodicalIF":0.5,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47749406","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
Hybrid Inertial Contraction Algorithms for Solving Variational Inequalities with Fixed Point Constraints in Hilbert Spaces 求解Hilbert空间中不动点约束变分不等式的混合惯性收缩算法
IF 0.5
Acta Mathematica Vietnamica Pub Date : 2022-01-28 DOI: 10.1007/s40306-021-00467-6
Pham Ngoc Anh
{"title":"Hybrid Inertial Contraction Algorithms for Solving Variational Inequalities with Fixed Point Constraints in Hilbert Spaces","authors":"Pham Ngoc Anh","doi":"10.1007/s40306-021-00467-6","DOIUrl":"10.1007/s40306-021-00467-6","url":null,"abstract":"<div><p>In this paper, basing on the forward-backward method and inertial techniques, we introduce a new algorithm for solving a variational inequality problem over the fixed point set of a nonexpansive mapping. The strong convergence of the algorithm is established under strongly monotone and Lipschitz continuous assumptions imposed on the cost mapping. As an application, we also apply and analyze our algorithm to solve a convex minimization problem of the sum of two convex functions.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"47 4","pages":"743 - 753"},"PeriodicalIF":0.5,"publicationDate":"2022-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45827527","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
首页 上一页
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：604180095
Book学术官方微信