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GMJ volume 64 issue 2 Cover and Front matter GMJ第64卷第2期封面和封面
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-04-06 DOI: 10.1017/s0017089522000076
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引用次数: 0
On the Hilbert scheme of the moduli space of torsion-free sheaves on surfaces 曲面上无扭轮轴模空间的Hilbert格式
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-02-22 DOI: 10.1017/S0017089523000010
O. Mata-Gutiérrez, L. Roa-Leguizamón, H. Torres-López
{"title":"On the Hilbert scheme of the moduli space of torsion-free sheaves on surfaces","authors":"O. Mata-Gutiérrez, L. Roa-Leguizamón, H. Torres-López","doi":"10.1017/S0017089523000010","DOIUrl":"https://doi.org/10.1017/S0017089523000010","url":null,"abstract":"Abstract The aim of this paper is to determine a bound of the dimension of an irreducible component of the Hilbert scheme of the moduli space of torsion-free sheaves on surfaces. Let X be a nonsingular irreducible complex surface, and let E be a vector bundle of rank n on X. We use the m-elementary transformation of E at a point \u0000$x in X$\u0000 to show that there exists an embedding from the Grassmannian variety \u0000$mathbb{G}(E_x,m)$\u0000 into the moduli space of torsion-free sheaves \u0000$mathfrak{M}_{X,H}(n;,c_1,c_2+m)$\u0000 which induces an injective morphism from \u0000$X times M_{X,H}(n;,c_1,c_2)$\u0000 to \u0000$Hilb_{, mathfrak{M}_{X,H}(n;,c_1,c_2+m)}$\u0000 .","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44945142","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
The nonclassical diffusion equations with time-dependent memory kernels and a new class of nonlinearities 具有时变记忆核的非经典扩散方程及一类新的非线性
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-02-21 DOI: 10.1017/S0017089522000027
L. T. Thuy, N. Toan
{"title":"The nonclassical diffusion equations with time-dependent memory kernels and a new class of nonlinearities","authors":"L. T. Thuy, N. Toan","doi":"10.1017/S0017089522000027","DOIUrl":"https://doi.org/10.1017/S0017089522000027","url":null,"abstract":"Abstract In this study, we consider the nonclassical diffusion equations with time-dependent memory kernels \u0000begin{equation*} u_{t} - Delta u_t - Delta u - int_0^infty k^{prime}_{t}(s) Delta u(t-s) ds + f( u) = g end{equation*}\u0000 on a bounded domain \u0000$Omega subset mathbb{R}^N,, Ngeq 3$\u0000 . Firstly, we study the existence and uniqueness of weak solutions and then, we investigate the existence of the time-dependent global attractors \u0000$mathcal{A}={A_t}_{tinmathbb{R}}$\u0000 in \u0000$H_0^1(Omega)times L^2_{mu_t}(mathbb{R}^+,H_0^1(Omega))$\u0000 . Finally, we prove that the asymptotic dynamics of our problem, when \u0000$k_t$\u0000 approaches a multiple \u0000$mdelta_0$\u0000 of the Dirac mass at zero as \u0000$tto infty$\u0000 , is close to the one of its formal limit \u0000begin{equation*}u_{t} - Delta u_{t} - (1+m)Delta u + f( u) = g. end{equation*}\u0000 The main novelty of our results is that no restriction on the upper growth of the nonlinearity is imposed and the memory kernel \u0000$k_t(!cdot!)$\u0000 depends on time, which allows for instance to describe the dynamics of aging materials.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49075907","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
Homotopy commutativity in Hermitian symmetric spaces 厄密对称空间中的同伦交换性
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-01-31 DOI: 10.1017/S0017089522000118
D. Kishimoto, Masahiro Takeda, Yichen Tong
{"title":"Homotopy commutativity in Hermitian symmetric spaces","authors":"D. Kishimoto, Masahiro Takeda, Yichen Tong","doi":"10.1017/S0017089522000118","DOIUrl":"https://doi.org/10.1017/S0017089522000118","url":null,"abstract":"Abstract Ganea proved that the loop space of \u0000$mathbb{C} P^n$\u0000 is homotopy commutative if and only if \u0000$n=3$\u0000 . We generalize this result to that the loop spaces of all irreducible Hermitian symmetric spaces but \u0000$mathbb{C} P^3$\u0000 are not homotopy commutative. The computation also applies to determining the homotopy nilpotency class of the loop spaces of generalized flag manifolds \u0000$G/T$\u0000 for a maximal torus T of a compact, connected Lie group G.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44703460","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
KMS states on $C_c^{*}(mathbb{N}^2)$ KMS在$C_c^{*}(mathbb{N}^2)$上的状态
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-01-30 DOI: 10.1017/S0017089523000071
Anbu Arjunan, Sruthymurali, S. Sundar
{"title":"KMS states on \u0000$C_c^{*}(mathbb{N}^2)$","authors":"Anbu Arjunan, Sruthymurali, S. Sundar","doi":"10.1017/S0017089523000071","DOIUrl":"https://doi.org/10.1017/S0017089523000071","url":null,"abstract":"Abstract Let \u0000$C_c^{*}(mathbb{N}^{2})$\u0000 be the universal \u0000$C^{*}$\u0000 -algebra generated by a semigroup of isometries \u0000${v_{(m,n)},:, m,n in mathbb{N}}$\u0000 whose range projections commute. We analyse the structure of KMS states on \u0000$C_{c}^{*}(mathbb{N}^2)$\u0000 for the time evolution determined by a homomorphism \u0000$c,:,mathbb{Z}^{2} to mathbb{R}$\u0000 . In contrast to the reduced version \u0000$C_{red}^{*}(mathbb{N}^{2})$\u0000 , we show that the set of KMS states on \u0000$C_{c}^{*}(mathbb{N}^{2})$\u0000 has a rich structure. In particular, we exhibit uncountably many extremal KMS states of type I, II and III.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44842606","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
GMJ volume 64 issue 1 Cover and Front matter GMJ第64卷第1期封面和封面问题
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2021-12-07 DOI: 10.1017/s0017089521000392
{"title":"GMJ volume 64 issue 1 Cover and Front matter","authors":"","doi":"10.1017/s0017089521000392","DOIUrl":"https://doi.org/10.1017/s0017089521000392","url":null,"abstract":"","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45316539","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
Abelian actions on compact nonorientable Riemann surfaces 紧致非定向黎曼曲面上的阿贝尔作用
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2021-12-02 DOI: 10.1017/S0017089521000410
Jesús Rodríguez
{"title":"Abelian actions on compact nonorientable Riemann surfaces","authors":"Jesús Rodríguez","doi":"10.1017/S0017089521000410","DOIUrl":"https://doi.org/10.1017/S0017089521000410","url":null,"abstract":"Abstract Given an integer \u0000$g>2$\u0000 , we state necessary and sufficient conditions for a finite Abelian group to act as a group of automorphisms of some compact nonorientable Riemann surface of genus g. This result provides a new method to obtain the symmetric cross-cap number of Abelian groups. We also compute the least symmetric cross-cap number of Abelian groups of a given order and solve the maximum order problem for Abelian groups acting on nonorientable Riemann surfaces.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48163514","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
CONGRUENCES OF SAITO–KUROKAWA LIFTS AND DENOMINATORS OF CENTRAL SPINOR L-VALUES saito-kurokawa举的同余和中心旋量l值的分母
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2021-10-14 DOI: 10.1017/S0017089521000331
N. Dummigan
{"title":"CONGRUENCES OF SAITO–KUROKAWA LIFTS AND DENOMINATORS OF CENTRAL SPINOR L-VALUES","authors":"N. Dummigan","doi":"10.1017/S0017089521000331","DOIUrl":"https://doi.org/10.1017/S0017089521000331","url":null,"abstract":"Abstract Following Ryan and Tornaría, we prove that moduli of congruences of Hecke eigenvalues, between Saito–Kurokawa lifts and non-lifts (certain Siegel modular forms of genus 2), occur (squared) in denominators of central spinor L-values (divided by twists) for the non-lifts. This is conditional on Böcherer’s conjecture and its analogues and is viewed in the context of recent work of Furusawa, Morimoto and others. It requires a congruence of Fourier coefficients, which follows from a uniqueness assumption or can be proved in examples. We explain these factors in denominators via a close examination of the Bloch–Kato conjecture.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45462562","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
Weak amenability of free products of hyperbolic and amenable groups 双曲和可服从群的自由积的弱可服从性
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2021-10-14 DOI: 10.1017/S0017089521000458
I. Vergara
{"title":"Weak amenability of free products of hyperbolic and amenable groups","authors":"I. Vergara","doi":"10.1017/S0017089521000458","DOIUrl":"https://doi.org/10.1017/S0017089521000458","url":null,"abstract":"Abstract We show that if G is an amenable group and H is a hyperbolic group, then the free product \u0000$Gast H$\u0000 is weakly amenable. A key ingredient in the proof is the fact that \u0000$Gast H$\u0000 is orbit equivalent to \u0000$mathbb{Z}ast H$\u0000 .","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44149633","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
Left regular representations of Garside categories I. C*-algebras and groupoids Garside范畴I. C*-代数与群拟的左正则表示
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2021-10-09 DOI: 10.1017/S0017089522000106
Xin Li
{"title":"Left regular representations of Garside categories I. C*-algebras and groupoids","authors":"Xin Li","doi":"10.1017/S0017089522000106","DOIUrl":"https://doi.org/10.1017/S0017089522000106","url":null,"abstract":"Abstract We initiate the study of C*-algebras and groupoids arising from left regular representations of Garside categories, a notion which originated from the study of Braid groups. Every higher rank graph is a Garside category in a natural way. We develop a general classification result for closed invariant subspaces of our groupoids as well as criteria for topological freeness and local contractiveness, properties which are relevant for the structure of the corresponding C*-algebras. Our results provide a conceptual explanation for previous results on gauge-invariant ideals of higher rank graph C*-algebras. As another application, we give a complete analysis of the ideal structures of C*-algebras generated by left regular representations of Artin–Tits monoids.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47764107","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: 8
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