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Geometric aspects on Humbert-Edge curves of type 5, Kummer surfaces and hyperelliptic curves of genus 2 5型Humbert-Edge曲线、Kummer曲面和2属超椭圆曲线的几何方面
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2023-07-25 DOI: 10.1017/S0017089523000174
Abel Castorena, Juan Bosco Fr'ias-Medina
{"title":"Geometric aspects on Humbert-Edge curves of type 5, Kummer surfaces and hyperelliptic curves of genus 2","authors":"Abel Castorena, Juan Bosco Fr'ias-Medina","doi":"10.1017/S0017089523000174","DOIUrl":"https://doi.org/10.1017/S0017089523000174","url":null,"abstract":"Abstract In this work, we study the Humbert-Edge curves of type 5, defined as a complete intersection of four diagonal quadrics in \u0000${mathbb{P}}^5$\u0000 . We characterize them using Kummer surfaces, and using the geometry of these surfaces, we construct some vanishing thetanulls on such curves. In addition, we describe an argument to give an isomorphism between the moduli space of Humbert-Edge curves of type 5 and the moduli space of hyperelliptic curves of genus 2, and we show how this argument can be generalized to state an isomorphism between the moduli space of hyperelliptic curves of genus \u0000$g=frac{n-1}{2}$\u0000 and the moduli space of Humbert-Edge curves of type \u0000$ngeq 5$\u0000 where \u0000$n$\u0000 is an odd number.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48671226","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
A presentation for the Eisenstein-Picard modular group in three complex dimensions Eisenstein-Picard模群在三个复杂维度上的表示
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2023-07-25 DOI: 10.1017/S0017089523000186
Jieyan Wang, Baohua Xie
{"title":"A presentation for the Eisenstein-Picard modular group in three complex dimensions","authors":"Jieyan Wang, Baohua Xie","doi":"10.1017/S0017089523000186","DOIUrl":"https://doi.org/10.1017/S0017089523000186","url":null,"abstract":"Abstract A. Mark and J. Paupert [Presentations for cusped arithmetic hyperbolic lattices, 2018, arXiv:1709.06691.] presented a method to compute a presentation for any cusped complex hyperbolic lattice. In this note, we will use their method to give a presentation for the Eisenstein-Picard modular group in three complex dimensions.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42063740","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
Generalized tilting theory in functor categories 函子范畴中的广义倾斜理论
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2023-07-10 DOI: 10.1017/S0017089523000162
Xi Tang
{"title":"Generalized tilting theory in functor categories","authors":"Xi Tang","doi":"10.1017/S0017089523000162","DOIUrl":"https://doi.org/10.1017/S0017089523000162","url":null,"abstract":"Abstract This paper is devoted to the study of generalized tilting theory of functor categories in different levels. First, we extend Miyashita’s proof (Math Z 193:113–146,1986) of the generalized Brenner–Butler theorem to arbitrary functor categories \u0000$mathop{textrm{Mod}}nolimits!(mathcal{C})$\u0000 with \u0000$mathcal{C}$\u0000 an annuli variety. Second, a hereditary and complete cotorsion pair generated by a generalized tilting subcategory \u0000$mathcal{T}$\u0000 of \u0000$mathop{textrm{Mod}}nolimits !(mathcal{C})$\u0000 is constructed. Some applications of these two results include the equivalence of Grothendieck groups \u0000$K_0(mathcal{C})$\u0000 and \u0000$K_0(mathcal{T})$\u0000 , the existences of a new abelian model structure on the category of complexes \u0000$mathop{textrm{C}}nolimits !(!mathop{textrm{Mod}}nolimits!(mathcal{C}))$\u0000 , and a t-structure on the derived category \u0000$mathop{textrm{D}}nolimits !(!mathop{textrm{Mod}}nolimits !(mathcal{C}))$\u0000 .","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48800944","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
GMJ volume 65 issue S1 Cover and Back matter GMJ第65卷第S1期封面和封底
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2023-05-01 DOI: 10.1017/s0017089523000101
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引用次数: 0
GMJ volume 65 issue S1 Cover and Front matter GMJ第65卷第S1期封面和封面问题
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2023-05-01 DOI: 10.1017/s0017089523000095
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引用次数: 0
GMJ volume 65 issue 2 Cover and Front matter GMJ第65卷第2期封面和封面问题
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2023-05-01 DOI: 10.1017/s0017089523000216
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引用次数: 0
GMJ volume 65 issue 2 Cover and Back matter GMJ第65卷第2期封面和封底
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2023-05-01 DOI: 10.1017/s0017089523000228
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引用次数: 0
Hausdorff dimension of sets defined by almost convergent binary expansion sequences 由几乎收敛的二元展开序列定义的集合的Hausdorff维数
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2023-03-13 DOI: 10.1017/S0017089523000046
Q. Song
{"title":"Hausdorff dimension of sets defined by almost convergent binary expansion sequences","authors":"Q. Song","doi":"10.1017/S0017089523000046","DOIUrl":"https://doi.org/10.1017/S0017089523000046","url":null,"abstract":"Abstract In this paper, we study the Hausdorff dimension of sets defined by almost convergent binary expansion sequences. More precisely, the Hausdorff dimension of the following set \u0000begin{align*} bigg{xin[0,1);:;frac{1}{n}sum_{k=a}^{a+n-1}x_{k}longrightarrowalphatextrm{ uniformly in }ainmathbb{N}textrm{ as }nrightarrowinftybigg} end{align*}\u0000 is determined for any \u0000$ alphain[0,1] $\u0000 . This completes a question considered by Usachev [Glasg. Math. J. 64 (2022), 691–697] where only the dimension for rational \u0000$ alpha $\u0000 is given.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47513362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some characterizations of expanding and steady Ricci solitons 膨胀和稳定里奇孤子的一些特征
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2023-03-13 DOI: 10.1017/S0017089523000034
Márcio S. Santos
{"title":"Some characterizations of expanding and steady Ricci solitons","authors":"Márcio S. Santos","doi":"10.1017/S0017089523000034","DOIUrl":"https://doi.org/10.1017/S0017089523000034","url":null,"abstract":"Abstract In this short note, we deal with complete noncompact expanding and steady Ricci solitons of dimension \u0000$ngeq 3.$\u0000 More precisely, under an integrability assumption, we obtain a characterization for the generalized cigar Ricci soliton and the Gaussian Ricci soliton.","PeriodicalId":50417,"journal":{"name":"Glasgow Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44363017","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
GMJ volume 65 issue 1 Cover and Front matter GMJ第65卷第1期封面和封面
IF 0.5 4区 数学
Glasgow Mathematical Journal Pub Date : 2022-12-07 DOI: 10.1017/s0017089522000350
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引用次数: 0
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