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Holomorphically homogeneous CR-manifolds and their model surfaces 全纯齐次cr流形及其模型曲面
IF 0.8 3区 数学
Izvestiya Mathematics Pub Date : 2021-06-01 DOI: 10.1070/IM9056
M. Stepanova
{"title":"Holomorphically homogeneous CR-manifolds and their model surfaces","authors":"M. Stepanova","doi":"10.1070/IM9056","DOIUrl":"https://doi.org/10.1070/IM9056","url":null,"abstract":"We show that the model surface of a germ of a holomorphically homogeneous CR-manifold is holomorphically homogeneous. We also obtain restrictions on the multiplicities in the Bloom–Graham type of a germ of a holomorphically homogeneous CR-manifold.","PeriodicalId":54910,"journal":{"name":"Izvestiya Mathematics","volume":"85 1","pages":"529 - 535"},"PeriodicalIF":0.8,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43333712","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: 1
Birational geometry of varieties fibred into complete intersections of codimension two 成余维2的完全交点的品种的双几何
IF 0.8 3区 数学
Izvestiya Mathematics Pub Date : 2021-01-26 DOI: 10.1070/IM9146
A. Pukhlikov
{"title":"Birational geometry of varieties fibred into complete intersections of codimension two","authors":"A. Pukhlikov","doi":"10.1070/IM9146","DOIUrl":"https://doi.org/10.1070/IM9146","url":null,"abstract":"In this paper we prove the birational superrigidity of Fano–Mori fibre spaces all of whose fibres are complete intersections of type in the projective space satisfying certain conditions of general position, under the assumption that the fibration is sufficiently twisted over the base (in particular, under the assumption that the -condition holds). The condition of general position for every fibre guarantees that the global log canonical threshold is equal to one. This condition also bounds the dimension of the base by a constant depending only on the dimension of the fibre (this constant grows like as ). The fibres and the variety may have quadratic and bi-quadratic singularities whose rank is bounded below.","PeriodicalId":54910,"journal":{"name":"Izvestiya Mathematics","volume":"86 1","pages":"334 - 411"},"PeriodicalIF":0.8,"publicationDate":"2021-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44736620","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: 7
Criteria for -approximability of functions on compact sets in , , by solutions of second-order homogeneous elliptic equations 二阶齐次椭圆方程解的紧集上函数的-逼近性准则
IF 0.8 3区 数学
Izvestiya Mathematics Pub Date : 2021-01-01 DOI: 10.1070/IM9036
P. V. Paramonov
{"title":"Criteria for -approximability of functions on compact sets in , , by solutions of second-order homogeneous elliptic equations","authors":"P. V. Paramonov","doi":"10.1070/IM9036","DOIUrl":"https://doi.org/10.1070/IM9036","url":null,"abstract":"We obtain capacitive criteria for the approximability of individual functions by solutions of second-order homogeneous elliptic equations with constant complex coefficients in the norm of a Whitney-type -space on a compact set in , . The case was studied in a recent paper by the author and Tolsa. For -approximations by harmonic functions (with any ), weaker criteria were earlier found by the author. We establish some metric properties of the capacities considered.","PeriodicalId":54910,"journal":{"name":"Izvestiya Mathematics","volume":"85 1","pages":"483 - 505"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"58574816","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
Igor Vasil’evich Volovich Igor Vasil'evich Volovich
IF 0.8 3区 数学
Izvestiya Mathematics Pub Date : 2021-01-01 DOI: 10.1070/im9245
{"title":"Igor Vasil’evich Volovich","authors":"","doi":"10.1070/im9245","DOIUrl":"https://doi.org/10.1070/im9245","url":null,"abstract":"","PeriodicalId":54910,"journal":{"name":"Izvestiya Mathematics","volume":"85 1","pages":"619 - 620"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"58577007","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
On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions 分段解析函数的多点逼近收敛速度的下界
IF 0.8 3区 数学
Izvestiya Mathematics Pub Date : 2021-01-01 DOI: 10.1070/IM9047
V. Buslaev
{"title":"On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions","authors":"V. Buslaev","doi":"10.1070/IM9047","DOIUrl":"https://doi.org/10.1070/IM9047","url":null,"abstract":"We obtain a lower bound for the rate of convergence of multipoint Padé approximants of functions holomorphically extendable from a compact set to a union of domains whose boundaries possess a symmetry property. The bound obtained matches a known upper bound for the same quantity.","PeriodicalId":54910,"journal":{"name":"Izvestiya Mathematics","volume":"85 1","pages":"351 - 366"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"58575362","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 Calderón construction for a couple of global Morrey spaces 一对全局Morrey空间的Calderón构造
IF 0.8 3区 数学
Izvestiya Mathematics Pub Date : 2021-01-01 DOI: 10.1070/IM9049
E. Berezhnoi
{"title":"The Calderón construction for a couple of global Morrey spaces","authors":"E. Berezhnoi","doi":"10.1070/IM9049","DOIUrl":"https://doi.org/10.1070/IM9049","url":null,"abstract":"We employ a new approach to show that the Calderón construction for a couple of global Morrey spaces coincides with the Morrey space with appropriate parameters only under rather strong assumptions on the couples of ideal spaces that parameterize the original Morrey spaces. We show that, in the case of classical examples of global Morrey spaces, these assumptions are necessary and sufficient. Applying a well-known reduction, we use the Calderón construction for a couple of global Morrey spaces to describe the spaces given by the complex interpolation method and also to prove new interpolation theorems for global Morrey spaces.","PeriodicalId":54910,"journal":{"name":"Izvestiya Mathematics","volume":"85 1","pages":"833 - 851"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"58575549","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
Adjoint -classes on threefolds 伴随类在三倍上
IF 0.8 3区 数学
Izvestiya Mathematics Pub Date : 2021-01-01 DOI: 10.1070/IM9084
A. Höring
{"title":"Adjoint -classes on threefolds","authors":"A. Höring","doi":"10.1070/IM9084","DOIUrl":"https://doi.org/10.1070/IM9084","url":null,"abstract":"We answer a question of Filip and Tosatti concerning a basepoint-free theorem for transcendental -classes on compact Kähler threefolds.","PeriodicalId":54910,"journal":{"name":"Izvestiya Mathematics","volume":"85 1","pages":"823 - 830"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"58576577","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
A basis for a partially commutative metabelian group 部分可交换亚群的一种基
IF 0.8 3区 数学
Izvestiya Mathematics Pub Date : 2021-01-01 DOI: 10.1070/IM9034
E. Timoshenko
{"title":"A basis for a partially commutative metabelian group","authors":"E. Timoshenko","doi":"10.1070/IM9034","DOIUrl":"https://doi.org/10.1070/IM9034","url":null,"abstract":"We find explicitly a basis for the derived group of a partially commutative metabelian group and describe a canonical representation for the elements of the group.","PeriodicalId":54910,"journal":{"name":"Izvestiya Mathematics","volume":"85 1","pages":"813 - 822"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"58575193","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: 3
Kolmogorov widths of intersections of weighted Sobolev classes on an interval with conditions on the zeroth and first derivatives 具有零阶导数和一阶导数条件的区间上加权Sobolev类交点的Kolmogorov宽度
IF 0.8 3区 数学
Izvestiya Mathematics Pub Date : 2021-01-01 DOI: 10.1070/IM8969
A. Vasil'eva
{"title":"Kolmogorov widths of intersections of weighted Sobolev classes on an interval with conditions on the zeroth and first derivatives","authors":"A. Vasil'eva","doi":"10.1070/IM8969","DOIUrl":"https://doi.org/10.1070/IM8969","url":null,"abstract":"In the paper, we obtain order estimates for the Kolmogorov widths of the intersection of weighted Sobolev classes with conditions on the first and zeroth derivatives; the weights have power-law form.","PeriodicalId":54910,"journal":{"name":"Izvestiya Mathematics","volume":"85 1","pages":"1 - 23"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"58573696","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
Positive solutions of superlinear elliptic problems with discontinuous non-linearities 具有不连续非线性的超线性椭圆问题的正解
IF 0.8 3区 数学
Izvestiya Mathematics Pub Date : 2021-01-01 DOI: 10.1070/IM9000
V. Pavlenko, D. K. Potapov
{"title":"Positive solutions of superlinear elliptic problems with discontinuous non-linearities","authors":"V. Pavlenko, D. K. Potapov","doi":"10.1070/IM9000","DOIUrl":"https://doi.org/10.1070/IM9000","url":null,"abstract":"We consider an elliptic boundary-value problem with a homogeneous Dirichlet boundary condition, a parameter and a discontinuous non-linearity. The positive parameter appears as a multiplicative term in the non-linearity, and the problem has a zero solution for any value of the parameter. The non-linearity has superlinear growth at infinity. We prove the existence of positive solutions by a topological method.","PeriodicalId":54910,"journal":{"name":"Izvestiya Mathematics","volume":"85 1","pages":"262 - 278"},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"58573892","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: 1
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