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The ascent-descent property for $2$-term silting complexes 2期淤积复合体的上升-下降特性
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2019-05-08 DOI: 10.5565/publmat6422007
Simion Breaz
{"title":"The ascent-descent property for $2$-term silting complexes","authors":"Simion Breaz","doi":"10.5565/publmat6422007","DOIUrl":"https://doi.org/10.5565/publmat6422007","url":null,"abstract":"We will prove that over commutative rings the silting property of $2$-term complexes induced by morphisms between projective modules is preserved and reflected by faithfully flat extensions.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2019-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43689672","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: 8
Definable coaisles over rings of weak global dimension at most one 弱总体维数最多为1的环上的可定义通道
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2019-01-14 DOI: 10.5565/publmat6512106
S. Bazzoni, Michal Hrbek
{"title":"Definable coaisles over rings of weak global dimension at most one","authors":"S. Bazzoni, Michal Hrbek","doi":"10.5565/publmat6512106","DOIUrl":"https://doi.org/10.5565/publmat6512106","url":null,"abstract":"In the setting of the unbounded derived category D(R) of a ring R of weak global dimension at most one we consider t-structures with a definable coaisle. The t-structures among these which are stable (that is, the t-structures which consist of a pair of triangulated subcategories) are precisely the ones associated to a smashing localization of the derived category. In this way, our present results generalize those of [Bv{S}17] to the non-stable case. As in the stable case [Bv{S}17], we confine for the most part to the commutative setting, and give a full classification of definable coaisles in the local case, that is, over valuation domains. It turns out that unlike in the stable case of smashing subcategories, the definable coaisles do not always arise from homological ring epimorphisms. We also consider a non-stable version of the telescope conjecture for t-structures and give a ring-theoretic characterization of the commutative rings of weak global dimension at most one for which it is satisfied.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2019-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48416179","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: 4
Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients 用傅里叶系数的某个子集来区分2次的厄米尖形式
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2019-01-01 DOI: 10.5565/PUBLMAT6311911
Pramath Anamby, Soumya Das
{"title":"Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients","authors":"Pramath Anamby, Soumya Das","doi":"10.5565/PUBLMAT6311911","DOIUrl":"https://doi.org/10.5565/PUBLMAT6311911","url":null,"abstract":"We prove that Hermitian cusp forms of weight k for the Hermitian modular group of degree 2 are determined by their Fourier coefficients indexed by matrices whose determinants are essentially square-free. Moreover, we give a quantitative version of the above result. This is a consequence of the corresponding results for integral weight elliptic cusp forms, which are also treated in this paper.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43396657","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: 9
Growth alternative for Hecke-Kiselman monoids Hecke-Kiselman monoid的生长替代方案
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2019-01-01 DOI: 10.5565/PUBLMAT6311907
Arkadiusz Mȩcel, J. Okniński
{"title":"Growth alternative for Hecke-Kiselman monoids","authors":"Arkadiusz Mȩcel, J. Okniński","doi":"10.5565/PUBLMAT6311907","DOIUrl":"https://doi.org/10.5565/PUBLMAT6311907","url":null,"abstract":"The Gelfand–Kirillov dimension of Hecke–Kiselman algebras defined by oriented graphs is studied. It is shown that the dimension is infinite if and only if the underlying graph contains two cycles connected by an (oriented) path. Moreover, in this case, the Hecke–Kiselman monoid contains a free noncommutative submonoid. The dimension is finite if and only if the monoid algebra satisfies a polynomial identity. 2010 Mathematics Subject Classification: 16P90, 16S15, 16S36, 16S99, 20M05.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45197417","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: 8
Asymptotic expansions and summability with respect to an analytic germ 解析胚芽的渐近展开式和可和性
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2019-01-01 DOI: 10.5565/PUBLMAT6311901
Jorge Mozo Fernández, R. Schäfke
{"title":"Asymptotic expansions and summability with respect to an analytic germ","authors":"Jorge Mozo Fernández, R. Schäfke","doi":"10.5565/PUBLMAT6311901","DOIUrl":"https://doi.org/10.5565/PUBLMAT6311901","url":null,"abstract":"","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46276174","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
Weighted norm inequalities for generalized Fourier-type transforms and applications 广义傅立叶型变换的加权范数不等式及其应用
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2018-12-05 DOI: 10.5565/publmat6412001
A. Debernardi
{"title":"Weighted norm inequalities for generalized Fourier-type transforms and applications","authors":"A. Debernardi","doi":"10.5565/publmat6412001","DOIUrl":"https://doi.org/10.5565/publmat6412001","url":null,"abstract":"We obtain necessary and sufficient conditions on weights for the generalized Fourier-type transforms to be bounded between weighted $L^p-L^q$ spaces. As an important example, we investigate transforms with kernel of power type, as for instance the sine, Hankel or $mathscr{H}_alpha$ transforms. The obtained necessary and sufficient conditions are given in terms of weights, but not in terms of their decreasing rearrangements, as in several previous investigations.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2018-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43668574","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
Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces 可变Lebesgue空间上双线性极大算子的加权范数不等式
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2018-11-01 DOI: 10.5565/publmat6422004
D. Cruz-Uribe, O. Guzmán
{"title":"Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces","authors":"D. Cruz-Uribe, O. Guzmán","doi":"10.5565/publmat6422004","DOIUrl":"https://doi.org/10.5565/publmat6422004","url":null,"abstract":"We extend the theory of weighted norm inequalities on variable Lebesgue spaces to the case of bilinear operators. We introduce a bilinear version of the variable $A_pp$ condition, and show that it is necessary and sufficient for the bilinear maximal operator to satisfy a weighted norm inequality. Our work generalizes the linear results of the first author, Fiorenza and Neugebauer cite{dcu-f-nPreprint2010} in the variable Lebesgue spaces and the bilinear results of Lerner {em et al.} cite{MR2483720} in the classical Lebesgue spaces. As an application we prove weighted norm inequalities for bilinear singular integral operators in the variable Lebesgue spaces.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45418506","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
Moduli spaces of a family of topologically non quasi-homogeneous functions 拓扑非拟齐次函数族的模空间
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2018-10-31 DOI: 10.5565/PUBLMAT6311902
J. Loubani
{"title":"Moduli spaces of a family of topologically non quasi-homogeneous functions","authors":"J. Loubani","doi":"10.5565/PUBLMAT6311902","DOIUrl":"https://doi.org/10.5565/PUBLMAT6311902","url":null,"abstract":"We consider a topological class of a germ of complex analytic function in two variables which does not belong to its jacobian ideal. Such a function is not quasi homogeneous. Each element f in this class induces a germ of foliation (df = 0). Proceeding similarly to the homogeneous case and the quasi homogeneous case treated by Genzmer and Paul, we describe the local moduli space of the foliations in this class and give analytic normal forms. We prove also the uniqueness of these normal forms.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48172632","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
Foliations on projective spaces associated to the affine Lie algebra 与仿射李代数相关的射影空间上的叶
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2018-10-01 DOI: 10.5565/publmat6422003
Raphael Constant da Costa
{"title":"Foliations on projective spaces associated to the affine Lie algebra","authors":"Raphael Constant da Costa","doi":"10.5565/publmat6422003","DOIUrl":"https://doi.org/10.5565/publmat6422003","url":null,"abstract":"In this work, we construct some irreducible components of the space of two-dimensional holomorphic foliations on $mathbb{P}^n$ associated to some algebraic representations of the affine Lie algebra $mathfrak{aff}(mathbb{C})$. We give a description of the generalized Kupka components, obtaining a classification of them in terms of the degree of the foliations, in both cases $n=3$ and $n=4$.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47941853","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
Evaluation of polynomials over finite rings via additive combinatorics 用加性组合学求有限环上的多项式
IF 1.1 3区 数学
Publicacions Matematiques Pub Date : 2018-09-18 DOI: 10.5565/publmat6612208
Gyula K'arolyi, Csaba Szab'o
{"title":"Evaluation of polynomials over finite rings via additive combinatorics","authors":"Gyula K'arolyi, Csaba Szab'o","doi":"10.5565/publmat6612208","DOIUrl":"https://doi.org/10.5565/publmat6612208","url":null,"abstract":"We give an improved polynomial bound on the complexity of the equation solvability problem, or more generally, of finding the value sets of polynomials over finite nilpotent rings. Our proof depends on a result in additive combinatorics, which may be of independent interest.","PeriodicalId":54531,"journal":{"name":"Publicacions Matematiques","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2018-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48819543","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
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