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Quarterly Journal of Mathematics最新文献

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On weak compactness in projective tensor products 关于射影张量积的弱紧性
IF 0.7 4区 数学
Quarterly Journal of Mathematics Pub Date : 2022-11-29 DOI: 10.1093/qmath/haac036
José Rodríguez
{"title":"On weak compactness in projective tensor products","authors":"José Rodríguez","doi":"10.1093/qmath/haac036","DOIUrl":"https://doi.org/10.1093/qmath/haac036","url":null,"abstract":"We study the property of being strongly weakly compactly generated (and some relatives) in projective tensor products of Banach spaces. Our main result is as follows. Let $1 unicode{x003C} p,qunicode{x003C}infty$ be such that $1/p+1/qgeq 1$. Let X (resp., Y) be a Banach space with a countable unconditional finite-dimensional Schauder decomposition having a disjoint lower p-estimate (resp., q-estimate). If X and Y are strongly weakly compactly generated, then so is their projective tensor product $X {widehat{otimes}_pi} Y$.","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138537722","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
Quantifying conjugacy separability in wreath products of groups 群环积共轭可分性的定量化
IF 0.7 4区 数学
Quarterly Journal of Mathematics Pub Date : 2022-11-25 DOI: 10.1093/qmath/haac031
Michal Ferov, Mark Pengitore
{"title":"Quantifying conjugacy separability in wreath products of groups","authors":"Michal Ferov, Mark Pengitore","doi":"10.1093/qmath/haac031","DOIUrl":"https://doi.org/10.1093/qmath/haac031","url":null,"abstract":"We study generalizations of conjugacy separability in restricted wreath products of groups. We provide an effective upper bound for $mathcal{C}$-conjugacy separability of a wreath product $A wr B$ in terms of the $mathcal{C}$-conjugacy separability of A and B, the growth of $mathcal{C}$-cyclic subgroup separability of B and the $mathcal{C}$-residual girth of $B.$ As an application, we provide a characterization of when $A wr B$ is p-conjugacy separable. We use this characterization to provide for each prime p an example of a wreath product with infinite base group that is p-conjugacy separable. We also provide asymptotic upper bounds for conjugacy separability for wreath products of nilpotent groups, which include the lamplighter groups and provide asymptotic upper bounds for conjugacy separability of the free metabelian groups.","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505990","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
Twists of rational Cherednik algebras 有理Cherednik代数的扭曲
IF 0.7 4区 数学
Quarterly Journal of Mathematics Pub Date : 2022-11-14 DOI: 10.1093/qmath/haac033
Y Bazlov, E Jones-Healey, A Mcgaw, A Berenstein
{"title":"Twists of rational Cherednik algebras","authors":"Y Bazlov, E Jones-Healey, A Mcgaw, A Berenstein","doi":"10.1093/qmath/haac033","DOIUrl":"https://doi.org/10.1093/qmath/haac033","url":null,"abstract":"We show that braided Cherednik algebras introduced by Bazlov and Berenstein are cocycle twists of rational Cherednik algebras of the imprimitive complex reflection groups $G(m,p,n)$, when m is even. This gives a new construction of mystic reflection groups which have Artin–Schelter regular rings of quantum polynomial invariants. As an application of this result, we show that a braided Cherednik algebra has a finite-dimensional representation if and only if its rational counterpart has one.","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505986","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
A Geometric Characterization of the Hjelmslev–Moufang Planes Hjelmslev–Moufang平面的几何特征
IF 0.7 4区 数学
Quarterly Journal of Mathematics Pub Date : 2021-10-25 DOI: 10.1093/QMATH/HAAB043
A. Schepper, J. Schillewaert, Hendrik Van Maldeghemmagali Victoor, Magali Victoor
{"title":"A Geometric Characterization of the Hjelmslev–Moufang Planes","authors":"A. Schepper, J. Schillewaert, Hendrik Van Maldeghemmagali Victoor, Magali Victoor","doi":"10.1093/QMATH/HAAB043","DOIUrl":"https://doi.org/10.1093/QMATH/HAAB043","url":null,"abstract":"","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44686002","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
Genus 0 Gopakumar–Vafa Invariants of the Banana Manifold 香蕉流形的0 Gopakumar-Vafa不变量属
IF 0.7 4区 数学
Quarterly Journal of Mathematics Pub Date : 2021-05-19 DOI: 10.1093/QMATH/HAAB026
Nina Morishige
{"title":"Genus 0 Gopakumar–Vafa Invariants of the Banana Manifold","authors":"Nina Morishige","doi":"10.1093/QMATH/HAAB026","DOIUrl":"https://doi.org/10.1093/QMATH/HAAB026","url":null,"abstract":"\u0000 The Banana manifold $X_{{text{Ban}}}$ is a compact Calabi–Yau threefold constructed as the conifold resolution of the fiber product of a generic rational elliptic surface with itself, which was first studied by Bryan. We compute Katz’s genus 0 Gopakumar–Vafa invariants of fiber curve classes on the Banana manifold $X_{{text{Ban}}}to mathbf{P} ^1$. The weak Jacobi form of weight −2 and index 1 is the associated generating function for these genus 0 Gopakumar–Vafa invariants. The invariants are shown to be an actual count of structure sheaves of certain possibly non-reduced genus 0 curves on the universal cover of the singular fibers of $X_{{text{Ban}}}tomathbf{P}^1$.","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47983126","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
Two-Dimensional Locally Nash Groups 二维局部纳什群
IF 0.7 4区 数学
Quarterly Journal of Mathematics Pub Date : 2021-04-23 DOI: 10.1093/QMATH/HAAB021
E. Baro, J. Vicente, M. Otero
{"title":"Two-Dimensional Locally Nash Groups","authors":"E. Baro, J. Vicente, M. Otero","doi":"10.1093/QMATH/HAAB021","DOIUrl":"https://doi.org/10.1093/QMATH/HAAB021","url":null,"abstract":"\u0000 We give a classification of connected abelian locally (real) Nash groups of dimension two. We first consider Painlevé’s description of meromorphic maps admitting an algebraic addition theorem and analyse the algebraic dependence of such maps. We then give a classification of connected abelian locally complex Nash groups of dimension two, from which we deduce the corresponding real classification. As a consequence, we obtain a classification of two-dimensional abelian irreducible algebraic groups defined over $mathbb{R}$.","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/QMATH/HAAB021","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43866201","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
Remarks On Ornstein’s Non-Inequality In ℝ2×2 关于Ornstein在t上的非不等式的注解2×2
IF 0.7 4区 数学
Quarterly Journal of Mathematics Pub Date : 2021-03-18 DOI: 10.1093/QMATH/HAAB016
D. Faraco, André Guerra
{"title":"Remarks On Ornstein’s Non-Inequality In ℝ2×2","authors":"D. Faraco, André Guerra","doi":"10.1093/QMATH/HAAB016","DOIUrl":"https://doi.org/10.1093/QMATH/HAAB016","url":null,"abstract":"\u0000 We give a very concise proof of Ornstein’s L1 non-inequality for first- and second-order operators in two dimensions. The proof just needs a two-dimensional laminate supported on three points.","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/QMATH/HAAB016","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47954022","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: 6
Gradient Estimates of ω-Minimizers to Double Phase Variational Problems with Variable Exponents 变指数双相变分问题的ω-极小值的梯度估计
IF 0.7 4区 数学
Quarterly Journal of Mathematics Pub Date : 2021-01-19 DOI: 10.1093/QMATH/HAAA067
Sun-Sig Byun, Ho-Sik Lee
{"title":"Gradient Estimates of ω-Minimizers to Double Phase Variational Problems with Variable Exponents","authors":"Sun-Sig Byun, Ho-Sik Lee","doi":"10.1093/QMATH/HAAA067","DOIUrl":"https://doi.org/10.1093/QMATH/HAAA067","url":null,"abstract":"\u0000 We are concerned with an optimal regularity for ω-minimizers to double phase variational problems with variable exponents where the associated energy density is allowed to be discontinuous. We identify basic structure assumptions on the density for the absence of Lavrentiev phenomenon and higher integrability. Moreover, we establish a local Calderón–Zygmund theory for such generalized minimizers under minimal regularity requirements regarding such double phase functionals to the frame of Lebesgue spaces with variable exponents.","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/QMATH/HAAA067","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"61271830","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: 4
Surjective Homomorphisms from Algebras of Operators on Long Sequence Spaces are Automatically Injective 长序列空间上算子代数的满射同态是自动内射的
IF 0.7 4区 数学
Quarterly Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.1093/qmath/haaa066
Bence HorvÁth;Tomasz Kania
{"title":"Surjective Homomorphisms from Algebras of Operators on Long Sequence Spaces are Automatically Injective","authors":"Bence HorvÁth;Tomasz Kania","doi":"10.1093/qmath/haaa066","DOIUrl":"https://doi.org/10.1093/qmath/haaa066","url":null,"abstract":"We study automatic injectivity of surjective algebra homomorphisms from \u0000<tex>$mathscr{B}(X)$</tex>\u0000, the algebra of (bounded, linear) operators on X, to \u0000<tex>$mathscr{B}(Y)$</tex>\u0000, where X is one of the following long sequence spaces: c\u0000<inf>0</inf>\u0000(λ), \u0000<tex>$ell_{infty}^c(lambda)$</tex>\u0000, and \u0000<tex>$ell_p(lambda)$</tex>\u0000 (\u0000<tex>$1 leqslant p lt infty$</tex>\u0000) and Y is arbitrary. En route to the proof that these spaces do indeed enjoy such a property, we classify two-sided ideals of the algebra of operators of any of the aforementioned Banach spaces that are closed with respect to the ‘sequential strong operator topology’.","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/qmath/haaa066","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49978801","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: 4
The Rationality of the Moduli Space of Two-pointed Ineffective Spin Hyperelliptic Curves 两点无效自旋超椭圆曲线模空间的合理性
IF 0.7 4区 数学
Quarterly Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.1093/qmath/haab006
Francesco Zucconi
{"title":"The Rationality of the Moduli Space of Two-pointed Ineffective Spin Hyperelliptic Curves","authors":"Francesco Zucconi","doi":"10.1093/qmath/haab006","DOIUrl":"https://doi.org/10.1093/qmath/haab006","url":null,"abstract":"By the geometry of the 3-fold quadric, we show that the coarse moduli space of genus g ineffective spin hyperelliptic curves with two marked points is a rational variety for every g ≥ 2.","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49978792","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
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