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Annales Polonici Mathematici最新文献

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Correction/Addendum to “The extremal function for the complex ball for generalized notions of degree and multivariate polynomial approximation” (Ann. Polon. Math. 123 (2019), 171–195) 修正/增补“复球的极值函数的广义度和多元多项式近似概念”(安。Polon。数学。123 (2019)，171-195)
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2020-05-05 DOI: 10.4064/ap200505-4-8
T. Bloom, L. Bos, N. Levenberg, S. Ma‘u, F. Piazzon
{"title":"Correction/Addendum to “The extremal function for the complex ball for generalized notions of degree and multivariate polynomial approximation” (Ann. Polon. Math. 123 (2019), 171–195)","authors":"T. Bloom, L. Bos, N. Levenberg, S. Ma‘u, F. Piazzon","doi":"10.4064/ap200505-4-8","DOIUrl":"https://doi.org/10.4064/ap200505-4-8","url":null,"abstract":"We correct the calculation of the Monge-Ampere measure of a certain extremal plurisubharmonic function for the complex Euclidean ball in C^2.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46251817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Hodge theory of $p$-adic varieties: a survey $p$一元变量的Hodge理论:综述
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2020-05-01 DOI: 10.4064/ap200516-31-8
Wiesalawa Niziol
{"title":"Hodge theory of $p$-adic varieties: a survey","authors":"Wiesalawa Niziol","doi":"10.4064/ap200516-31-8","DOIUrl":"https://doi.org/10.4064/ap200516-31-8","url":null,"abstract":"$p$-adic Hodge Theory is one of the most powerful tools in modern Arithmetic Geometry. In this survey, we will review $p$-adic Hodge Theory for algebraic varieties, present current developments in $p$-adic Hodge Theory for analytic varieties, and discuss some of its applications to problems in Number Theory. This is an extended version of a talk at the Jubilee Congress for the 100th anniversary of the Polish Mathematical Society, Krakow, 2019.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48966368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
On a cyclic inequality with exponents and permutations, and its Shapiro-type analogues 关于一个具有指数和置换的循环不等式及其Shapiro型类似物
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2020-04-19 DOI: 10.4064/ap210119-6-9
A. Czarnecki, Gabriel Kici'nski
{"title":"On a cyclic inequality with exponents and permutations, and its Shapiro-type analogues","authors":"A. Czarnecki, Gabriel Kici'nski","doi":"10.4064/ap210119-6-9","DOIUrl":"https://doi.org/10.4064/ap210119-6-9","url":null,"abstract":"We prove that the cyclic inequality $sumlimits_{i=1}^{i=n}left(frac{x_i}{x_{i+1}}right)^kgeqsumlimits_{i=1}^{i=n}frac{x_i}{x_{sigma(i)}}$ holds for $k$ in a specific range dependant on the permutation $sigma$. We also show that the same is not true for the Sahpiro-type generalizations.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48878843","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 the Nullstellensatz for c-holomorphic functions with algebraic graphs 关于具有代数图的c-全纯函数的Nullstellenz
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2020-02-16 DOI: 10.4064/ap200218-11-5
Adam Bialo.zyt, M. Denkowski, P. Tworzewski
{"title":"On the Nullstellensatz for c-holomorphic functions with algebraic graphs","authors":"Adam Bialo.zyt, M. Denkowski, P. Tworzewski","doi":"10.4064/ap200218-11-5","DOIUrl":"https://doi.org/10.4064/ap200218-11-5","url":null,"abstract":"C-holomorphic functions defined on algebraic sets and having algebraic graphs can be considered as a complex counterpart of regulous functions introduced recently in real geometry. This note is a part of our study on the subject; we prove herein some effective Nullstellensatze.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47211325","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
On the nuclearity of weighted spaces of smooth functions 光滑函数加权空间的核性
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2020-02-04 DOI: 10.4064/ap190728-17-11
K. Kruse
{"title":"On the nuclearity of weighted spaces of smooth functions","authors":"K. Kruse","doi":"10.4064/ap190728-17-11","DOIUrl":"https://doi.org/10.4064/ap190728-17-11","url":null,"abstract":"Nuclearity plays an important role for the Schwartz kernel theorem to hold and in transferring the surjectivity of a linear partial differential operator from scalar-valued to vector-valued functions via tensor product theory. In this paper we study weighted spaces $mathcal{EV}(Omega)$ of smooth functions on an open subset $Omegasubsetmathbb{R}^{d}$ whose topology is given by a family of weights $mathcal{V}$. We derive sufficient conditions on the weights which make $mathcal{EV}(Omega)$ a nuclear space.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"124 1","pages":"173-196"},"PeriodicalIF":0.5,"publicationDate":"2020-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44601531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Topologizable and power bounded weighted composition operators on spaces of distributions 分布空间上的拓扑可及幂有界加权复合算子
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2020-02-01 DOI: 10.4064/AP200211-11-5
T. Kalmes
{"title":"Topologizable and power bounded weighted composition operators on spaces of distributions","authors":"T. Kalmes","doi":"10.4064/AP200211-11-5","DOIUrl":"https://doi.org/10.4064/AP200211-11-5","url":null,"abstract":"We study topologizability and power boundedness of weigh-ted composition operators on (certain subspaces of) $mathscr{D}'(X)$ for an open subset $X$ of $mathbb{R}^d$. For the former property we derive a characterization in terms of the symbol and the weight of the weighted composition operator, while for the latter property necessary and sufficient conditions on the weight and the symbol are presented. Moreover, for an unweighted composition operator a characterization of power boundedness in terms of the symbol is derived for the special case of a bijective symbol.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46275641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Conservation of module and the product of modules of foliations 叶的模的守恒与模的积
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2020-01-01 DOI: 10.4064/ap190101-10-6
A. Kaźmierczak
{"title":"Conservation of module and the product of modules of foliations","authors":"A. Kaźmierczak","doi":"10.4064/ap190101-10-6","DOIUrl":"https://doi.org/10.4064/ap190101-10-6","url":null,"abstract":"","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"124 1","pages":"161-172"},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70578663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 the lattice of polynomials with integer coefficients: successive minima in $L_2(0,1)$ 整数系数多项式的格:$L_2(0,1)$的连续极小值
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2020-01-01 DOI: 10.4064/ap190413-20-10
W. Banaszczyk
{"title":"On the lattice of polynomials with integer coefficients: successive minima in $L_2(0,1)$","authors":"W. Banaszczyk","doi":"10.4064/ap190413-20-10","DOIUrl":"https://doi.org/10.4064/ap190413-20-10","url":null,"abstract":". Let P Z n be the additive subgroup of the real Hilbert space L 2 (0 , 1) consisting of polynomials of order ≤ n with integer coefficients. We may treat P Z n as a lattice in ( n + 1) -dimensional Euclidean space; let λ i ( P Z n ) ( 1 ≤ i ≤ n + 1 ) be the corresponding successive minima. We give rather precise estimates of λ i ( P Z n ) for i (cid:38) 23 n .","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70579269","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Eigenvalue comparison theorems for Finsler manifolds with integral Ricci curvature bound 积分Ricci曲率界的Finsler流形的特征值比较定理
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2020-01-01 DOI: 10.4064/ap191208-16-5
B. Wu
{"title":"Eigenvalue comparison theorems for Finsler manifolds with integral Ricci curvature bound","authors":"B. Wu","doi":"10.4064/ap191208-16-5","DOIUrl":"https://doi.org/10.4064/ap191208-16-5","url":null,"abstract":". We obtain some eigenvalue comparison theorems for Finsler manifolds with integral Ricci curvature bound.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70580002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Counting points on double octic Calabi–Yau threefolds over finite fields 有限域上双频Calabi-Yau三倍的点数
IF 0.5 4区 数学
Annales Polonici Mathematici Pub Date : 2020-01-01 DOI: 10.4064/ap200210-30-8
Aleksander Czarnecki
{"title":"Counting points on double octic Calabi–Yau threefolds over finite fields","authors":"Aleksander Czarnecki","doi":"10.4064/ap200210-30-8","DOIUrl":"https://doi.org/10.4064/ap200210-30-8","url":null,"abstract":". We present an algorithm for counting points on a double octic Calabi– Yau threefold associated to a configuration of eight planes over a finite field based on the existence of an elliptic curve fibration.","PeriodicalId":55513,"journal":{"name":"Annales Polonici Mathematici","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70581039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
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