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ÉTALE Topologies of Schemes Over Fields of Finite Type Over Q ÉTALE Q上有限型域上方案的拓扑
Mathematics of The Ussr-izvestiya Pub Date : 1991-06-30 DOI: 10.1070/IM1991V037N03ABEH002156
V. A. Voevodskii
{"title":"ÉTALE Topologies of Schemes Over Fields of Finite Type Over Q","authors":"V. A. Voevodskii","doi":"10.1070/IM1991V037N03ABEH002156","DOIUrl":"https://doi.org/10.1070/IM1991V037N03ABEH002156","url":null,"abstract":"The author proves a conjecture of Grothendieck concerning the possibility of recovering a normal scheme over a field of finite type over Q from its etale site.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"1818 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127453175","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: 9
CRITERIA FOR UNIFORM INVERTIBILITY OF REGULAR APPROXIMATIONS OF ONE-DIMENSIONAL SINGULAR INTEGRAL OPERATORS WITH PIECEWISE CONTINUOUS COEFFICIENTS 具有分段连续系数的一维奇异积分算子正则逼近的一致可逆性准则
Mathematics of The Ussr-izvestiya Pub Date : 1991-06-30 DOI: 10.1070/IM1991V037N03ABEH002162
V. S. Pilidi
{"title":"CRITERIA FOR UNIFORM INVERTIBILITY OF REGULAR APPROXIMATIONS OF ONE-DIMENSIONAL SINGULAR INTEGRAL OPERATORS WITH PIECEWISE CONTINUOUS COEFFICIENTS","authors":"V. S. Pilidi","doi":"10.1070/IM1991V037N03ABEH002162","DOIUrl":"https://doi.org/10.1070/IM1991V037N03ABEH002162","url":null,"abstract":"Criteria are obtained for applicability of approximation methods to a one-dimensional singular integral operator with piecewise continuous coefficients. These methods use families of strongly approximating operators with \"cut out\" singularity of the Cauchy kernel.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124380381","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: 4
NEW EXPLICIT FORMULAS FOR THE NORM RESIDUE SYMBOL, AND THEIR APPLICATIONS 范数剩余符号的新显式公式及其应用
Mathematics of The Ussr-izvestiya Pub Date : 1991-06-30 DOI: 10.1070/IM1991V037N03ABEH002159
L. Kuz'min
{"title":"NEW EXPLICIT FORMULAS FOR THE NORM RESIDUE SYMBOL, AND THEIR APPLICATIONS","authors":"L. Kuz'min","doi":"10.1070/IM1991V037N03ABEH002159","DOIUrl":"https://doi.org/10.1070/IM1991V037N03ABEH002159","url":null,"abstract":"The author obtains a new explicit formula for the norm residue symbol in a local cyclotomic field which is especially suitable for work in Zl-extensions. Several applications of this formula to a conjecture on the l-adic regulator are given.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"15 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113961343","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: 11
ON THE SMOOTHNESS OF SOLUTIONS OF DIFFERENTIAL EQUATIONS AT SINGULAR POINTS OF THE BOUNDARY OF THE DOMAIN 域边界奇异点处微分方程解的光滑性
Mathematics of The Ussr-izvestiya Pub Date : 1991-06-30 DOI: 10.1070/IM1991V037N03ABEH002155
A. Babin
{"title":"ON THE SMOOTHNESS OF SOLUTIONS OF DIFFERENTIAL EQUATIONS AT SINGULAR POINTS OF THE BOUNDARY OF THE DOMAIN","authors":"A. Babin","doi":"10.1070/IM1991V037N03ABEH002155","DOIUrl":"https://doi.org/10.1070/IM1991V037N03ABEH002155","url":null,"abstract":"Second-order elliptic equations with analytic coefficients and right sides in a domain with piecewise smooth boundary are studied. It is assumed that the boundary is characteristic at all points. Both Lipschitz and non-Lipschitz singularities of the boundary are admitted. It is proved that for large values of the spectral parameter, solutions possess high smoothness even at those points where the boundary has singularities. The results are based on the study of a constructive representation of solutions of the equations in the form of series of analytic functions.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"519 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123124668","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
FREE TOPOLOGICAL GROUPS OF METRIZABLE SPACES 可度量空间的自由拓扑群
Mathematics of The Ussr-izvestiya Pub Date : 1991-06-30 DOI: 10.1070/IM1991V037N03ABEH002163
V. Uspenskiĭ
{"title":"FREE TOPOLOGICAL GROUPS OF METRIZABLE SPACES","authors":"V. Uspenskiĭ","doi":"10.1070/IM1991V037N03ABEH002163","DOIUrl":"https://doi.org/10.1070/IM1991V037N03ABEH002163","url":null,"abstract":"The free topological group F(X) of an arbitrary metrizable space X is complete in the Weil sense. If Y is a closed subspace of a metrizable space X, then F(Y) is a topological subgroup of F(X).","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124625689","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: 89
CRITERIA FOR ADMISSIBILITY OF RULES OF INFERENCE WITH PARAMETERS IN THE INTUITIONISTIC PROPOSITIONAL CALCULUS 直觉命题演算中带参数推理规则的可容许准则
Mathematics of The Ussr-izvestiya Pub Date : 1991-06-30 DOI: 10.1070/IM1991V037N03ABEH002165
V. Rybakov
{"title":"CRITERIA FOR ADMISSIBILITY OF RULES OF INFERENCE WITH PARAMETERS IN THE INTUITIONISTIC PROPOSITIONAL CALCULUS","authors":"V. Rybakov","doi":"10.1070/IM1991V037N03ABEH002165","DOIUrl":"https://doi.org/10.1070/IM1991V037N03ABEH002165","url":null,"abstract":"The author studies the problem of recognizing admissibility of rules of inference of a general form - rules of inference with parameters - in the intuitionistic propositional calculus. Algorithmic and semantic criteria are found for recognizing admissibility of such rules, based on special intuitionistic Kripke models. In particular, Friedman's problem generalized to rules of inference with parameters is solved. These results are applied to recognizing the solvability of logical equations and constructing their solutions.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122306400","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: 2
STABLE ALGEBRA IN MORSE THEORY 莫尔斯理论中的稳定代数
Mathematics of The Ussr-izvestiya Pub Date : 1991-06-30 DOI: 10.1070/IM1991V036N03ABEH002037
V. Sharko
{"title":"STABLE ALGEBRA IN MORSE THEORY","authors":"V. Sharko","doi":"10.1070/IM1991V036N03ABEH002037","DOIUrl":"https://doi.org/10.1070/IM1991V036N03ABEH002037","url":null,"abstract":"Stable algebra is developed as needed in Morse theory. New estimates are found for the number of critical points of Morse functions, and conditions are found for the existence of minimal Morse functions on non-simply-connected manifolds.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131787008","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: 5
HOLOMORPHIC EXTENSION OF CR-FUNCTIONS WITH SINGULARITIES ON A HYPERSURFACE 超曲面上具有奇点的cr -函数的全纯扩展
Mathematics of The Ussr-izvestiya Pub Date : 1991-06-30 DOI: 10.1070/IM1991V037N03ABEH002164
A. Kytmanov
{"title":"HOLOMORPHIC EXTENSION OF CR-FUNCTIONS WITH SINGULARITIES ON A HYPERSURFACE","authors":"A. Kytmanov","doi":"10.1070/IM1991V037N03ABEH002164","DOIUrl":"https://doi.org/10.1070/IM1991V037N03ABEH002164","url":null,"abstract":"Let be a Stein manifold of dimension , let be a domain which is relatively compact in with connected, and let with . It is shown that any CR-function which is defined on extends holomorphically to . A local version of this assertion is also obtained.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129346982","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: 9
A TOPOLOGICAL INVARIANT AND A CRITERION FOR THE EQUIVALENCE OF INTEGRABLE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM 二自由度可积哈密顿系统的一个拓扑不变量和等价准则
Mathematics of The Ussr-izvestiya Pub Date : 1991-06-30 DOI: 10.1070/IM1991V036N03ABEH002035
A. Fomenko, Kh Tsishang
{"title":"A TOPOLOGICAL INVARIANT AND A CRITERION FOR THE EQUIVALENCE OF INTEGRABLE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM","authors":"A. Fomenko, Kh Tsishang","doi":"10.1070/IM1991V036N03ABEH002035","DOIUrl":"https://doi.org/10.1070/IM1991V036N03ABEH002035","url":null,"abstract":"A new topological invariant is constructed which classifies integrable Hamiltonian systems with two degrees of freedom (admitting a Bott integral). A criterion for the equivalence of Bott systems is proved: such systems are topologically equivalent if and only if their topological invariants coincide. The topological invariant is effectively calculated for specific integrable Hamiltonian systems in physics and mechanics.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129992773","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: 134
FUNCTIONAL EQUATIONS WITH PARAMETER OF ZETA-FUNCTIONS 带参数的函数方程
Mathematics of The Ussr-izvestiya Pub Date : 1991-06-30 DOI: 10.1070/IM1991V036N03ABEH002033
A. Lavrik
{"title":"FUNCTIONAL EQUATIONS WITH PARAMETER OF ZETA-FUNCTIONS","authors":"A. Lavrik","doi":"10.1070/IM1991V036N03ABEH002033","DOIUrl":"https://doi.org/10.1070/IM1991V036N03ABEH002033","url":null,"abstract":"Various types of functional equations for Dirichlet series are examined, and their equivalence is shown.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126820152","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
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