Revista Matematica Iberoamericana最新文献

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The Poincaré problem for reducible curves 可约曲线的庞加莱问题
2区 数学
Revista Matematica Iberoamericana Pub Date : 2023-11-10 DOI: 10.4171/rmi/1451
Pedro Fortuny Ayuso, Javier Ribón
{"title":"The Poincaré problem for reducible curves","authors":"Pedro Fortuny Ayuso, Javier Ribón","doi":"10.4171/rmi/1451","DOIUrl":"https://doi.org/10.4171/rmi/1451","url":null,"abstract":"We provide sharp lower bounds for the multiplicity of a local holomorphic foliation defined in a complex surface in terms of data associated to a germ of invariant curve. Then we apply our methods to invariant curves whose branches are isolated, i.e. they are never contained in non-trivial analytic families of equisingular invariant curves. In this case we show that the multiplicity of an invariant curve is at most twice the multiplicity of the foliation. Finally, we apply the local methods to foliations in the complex projective plane.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":"26 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135136318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Mordell–Weil groups and automorphism groups of elliptic $K3$ surfaces 椭圆曲面的modell - weil群和自同构群
2区 数学
Revista Matematica Iberoamericana Pub Date : 2023-10-24 DOI: 10.4171/rmi/1449
Ichiro Shimada
{"title":"Mordell–Weil groups and automorphism groups of elliptic $K3$ surfaces","authors":"Ichiro Shimada","doi":"10.4171/rmi/1449","DOIUrl":"https://doi.org/10.4171/rmi/1449","url":null,"abstract":"We present a method to calculate the action of the Mordell–Weil group of an elliptic $K3$ surface on the numerical Néron–Severi lattice of the $K3$ surface. As an application, we compute a finite generating set of the automorphism group of a $K3$ surface birational to the double plane branched along a 6-cuspidal sextic curve of torus type.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135266428","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 1
A four-dimensional cousin of the Segre cubic Segre立方的四维表亲
2区 数学
Revista Matematica Iberoamericana Pub Date : 2023-10-20 DOI: 10.4171/rmi/1448
Laurent Manivel
{"title":"A four-dimensional cousin of the Segre cubic","authors":"Laurent Manivel","doi":"10.4171/rmi/1448","DOIUrl":"https://doi.org/10.4171/rmi/1448","url":null,"abstract":"This note is devoted to a special Fano fourfold defined by a four-dimensional space of skew-symmetric forms in five variables. This fourfold appears to be closely related with the classical Segre cubic and its Cremona–Richmond configuration of planes. Among other exceptional properties, it is infinitesimally rigid and has Picard number six. We show how to construct it by blow-up and contraction, starting from a configuration of five planes in a four-dimensional quadric, compatibly with the symmetry group ${mathcal S}_5$. From this construction, we are able to describe the Chow ring explicitly.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":"24 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135513631","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 1
Sharp Hardy–Sobolev–Maz’ya, Adams and Hardy–Adams inequalities on quaternionic hyperbolic spaces and on the Cayley hyperbolic plane 四元元双曲空间和Cayley双曲平面上的Hardy-Sobolev-Maz 'ya, Adams和Hardy-Adams不等式
2区 数学
Revista Matematica Iberoamericana Pub Date : 2023-09-14 DOI: 10.4171/rmi/1444
Joshua Flynn, Guozhen Lu, Qiaohua Yang
{"title":"Sharp Hardy–Sobolev–Maz’ya, Adams and Hardy–Adams inequalities on quaternionic hyperbolic spaces and on the Cayley hyperbolic plane","authors":"Joshua Flynn, Guozhen Lu, Qiaohua Yang","doi":"10.4171/rmi/1444","DOIUrl":"https://doi.org/10.4171/rmi/1444","url":null,"abstract":"The main purpose of this paper is to establish the higher order Poincaré– Sobolev and Hardy–Sobolev–Maz’ya inequalities on quaternionic hyperbolic spaces and on the Cayley hyperbolic plane using the Helgason–Fourier analysis on symmetric spaces. A crucial part of our work is to establish appropriate factorization theorems on these spaces, which can be of independent interest. To this end, we need to identify and introduce the “quaternionic Geller operators” and the “octonionic Geller operators”, which have been absent on these spaces. Combining the factorization theorems and the Geller type operators with the Helgason–Fourier analysis on symmetric spaces, some precise estimates for the heat and the Bessel–Green– Riesz kernels, and the Kunze–Stein phenomenon for connected real simple groups of real rank one with finite center, we succeed to establish the higher order Poincaré– Sobolev and Hardy–Sobolev–Maz’ya inequalities on quaternionic hyperbolic spaces and on the Cayley hyperbolic plane. The kernel estimates required to prove these inequalities are also sufficient to establish the Adams and Hardy–Adams inequalities on these spaces. This paper, together with our earlier works on real and complex hyperbolic spaces, completes our study of the factorization theorems, higher order Poincaré–Sobolev, Hardy–Sobolev–Maz’ya, Adams and Hardy–Adams inequalities on all rank one symmetric spaces of noncompact type.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135488735","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 2
Jet spaces over Carnot groups 卡诺群上的Jet空间
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2023-07-24 DOI: 10.4171/rmi/1439
Sebastiano Nicolussi Golo, B. Warhurst
{"title":"Jet spaces over Carnot groups","authors":"Sebastiano Nicolussi Golo, B. Warhurst","doi":"10.4171/rmi/1439","DOIUrl":"https://doi.org/10.4171/rmi/1439","url":null,"abstract":"","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46239737","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 1
An asymptotic formula for the number of $n$-dimensional representations of SU(3) SU(3)的n维表示的渐近公式
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2023-06-08 DOI: 10.4171/rmi/1415
K. Bringmann, J. Franke
{"title":"An asymptotic formula for the number of $n$-dimensional representations of SU(3)","authors":"K. Bringmann, J. Franke","doi":"10.4171/rmi/1415","DOIUrl":"https://doi.org/10.4171/rmi/1415","url":null,"abstract":"","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45825015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 2
Positive solutions of the $p$-Laplacian with potential terms on weighted Riemannian manifolds with linear diameter growth 具有线性直径增长的加权黎曼流形上具有势项的$p$-Laplacian的正解
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2023-05-31 DOI: 10.4171/rmi/1432
A. Kasue
{"title":"Positive solutions of the $p$-Laplacian with potential terms on weighted Riemannian manifolds with linear diameter growth","authors":"A. Kasue","doi":"10.4171/rmi/1432","DOIUrl":"https://doi.org/10.4171/rmi/1432","url":null,"abstract":"","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47152345","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Deformation classification of quartic surfaces with simple singularities 具有简单奇点的四次曲面的变形分类
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2023-04-12 DOI: 10.4171/rmi/1431
cCisem Gunecs Aktacs
{"title":"Deformation classification of quartic surfaces with simple singularities","authors":"cCisem Gunecs Aktacs","doi":"10.4171/rmi/1431","DOIUrl":"https://doi.org/10.4171/rmi/1431","url":null,"abstract":"We give a complete equisingular deformation classification of simple spatial quartic surfaces which are in fact $K3$-surfaces.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45294100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Factorization of the normalization of the Nash blowup of order $n$ of $mathcal{A}_{n}$ by the minimal resolution 用最小分辨率分解$mathcal{A}_{n}$的$n阶纳什爆炸的归一化
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2023-04-06 DOI: 10.4171/rmi/1421
E. Chávez-Martínez
{"title":"Factorization of the normalization of the Nash blowup of order $n$ of $mathcal{A}_{n}$ by the minimal resolution","authors":"E. Chávez-Martínez","doi":"10.4171/rmi/1421","DOIUrl":"https://doi.org/10.4171/rmi/1421","url":null,"abstract":"","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41450538","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 1
Tridiagonal kernels and left-invertible operators with applications to Aluthge transforms 三对角核和左可逆算子及其在Aluthge变换中的应用
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2023-02-14 DOI: 10.4171/rmi/1403
Susmita Das, J. Sarkar
{"title":"Tridiagonal kernels and left-invertible operators with applications to Aluthge transforms","authors":"Susmita Das, J. Sarkar","doi":"10.4171/rmi/1403","DOIUrl":"https://doi.org/10.4171/rmi/1403","url":null,"abstract":"","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42681199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 2
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