发布求助
文献互助 智能选刊 最新文献

Rendiconti del Seminario Matematico della Università di Padova最新文献

筛选
英文 中文
Galois lines for a canonical curve of genus 4, II: Skew cyclic lines 一类4属正则曲线的伽罗瓦线:斜循环线
Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2023-10-02 DOI: 10.4171/rsmup/141
Jiryo Komeda, Takeshi Takahashi
{"title":"Galois lines for a canonical curve of genus 4, II: Skew cyclic lines","authors":"Jiryo Komeda, Takeshi Takahashi","doi":"10.4171/rsmup/141","DOIUrl":"https://doi.org/10.4171/rsmup/141","url":null,"abstract":"Let $C subset mathbb{P}^3$ be a canonical curve of genus $4$ over an algebraically closed field $k$ of characteristic zero. For a line $l$, we consider the projection $pi_lcolon C rightarrow mathbb{P}^1$ with center $l$ and the extension of the function fields $pi^_lcolon k(mathbb{P}^1) hookrightarrow k(C)$. A line $l$ is referred to as a cyclic line if the extension $k(C)/pi_l^(k(mathbb{P}^1))$ is cyclic. A line $l subset mathbb{P}^3$ is said to be skew if $C cap l = emptyset$. We prove that the number of skew cyclic lines is equal to $0,1,3$ or $9$. We determine curves that have nine skew cyclic lines.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135829630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Groups of order $p^3$ are mixed Tate 阶$p^3$的群是混合的
Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2023-09-11 DOI: 10.4171/rsmup/132
Tudor Pădurariu
{"title":"Groups of order $p^3$ are mixed Tate","authors":"Tudor Pădurariu","doi":"10.4171/rsmup/132","DOIUrl":"https://doi.org/10.4171/rsmup/132","url":null,"abstract":"A natural place to study the Chow ring of the classifying space BG, for G a linear algebraic group, is Voevodsky's triangulated category of motives, inside which Morel and Voevodsky, and Totaro have defined motives M(BG) and M^c(BG), respectively. We show that, for any group G of order p^3 over a field of characteristic not p which contains a primitive p^2-th root of unity, the motive M(BG) is a mixed Tate motive. We also show that, for a finite group G over a field of characteristic zero, M(BG) is a mixed Tate motive if and only M^c(BG) is a mixed Tate motive.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135939153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Solid generators in module categories and applications 模块类别和应用中的固体发生器
Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2023-09-11 DOI: 10.4171/rsmup/138
Ryo Takahashi
{"title":"Solid generators in module categories and applications","authors":"Ryo Takahashi","doi":"10.4171/rsmup/138","DOIUrl":"https://doi.org/10.4171/rsmup/138","url":null,"abstract":"– Let 𝑅 be a commutative noetherian ring. Denote by mod 𝑅 the category of finitely generated 𝑅 -modules. In the present paper, we introduce the notion of solid subcategories of mod 𝑅 and investigate it. The main result of this paper not only recovers results of Schoutens, Krause and Stevenson, and Takahashi on thick subcategories, but also unifies and extends them to solid subcategories. Moreover, it provides some contributions to the study of the question asking when a thick subcategory is Serre.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135981901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fibrantly generated weak factorization systems 纤维生成的弱分解系统
Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2023-09-11 DOI: 10.4171/rsmup/135
Sean Cox, Jiří Rosický
{"title":"Fibrantly generated weak factorization systems","authors":"Sean Cox, Jiří Rosický","doi":"10.4171/rsmup/135","DOIUrl":"https://doi.org/10.4171/rsmup/135","url":null,"abstract":"We prove that, assuming Vopvenka's principle, every small projectivity class in a locally presentable category is accessible.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135983534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Algebraic theory of formal regular-singular connections with parameters 带参数的形式正则-奇异连接的代数理论
Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2023-09-11 DOI: 10.4171/rsmup/134
Phùng Hô Hai, João Pedro dos Santos, Pham Thanh Tâm
{"title":"Algebraic theory of formal regular-singular connections with parameters","authors":"Phùng Hô Hai, João Pedro dos Santos, Pham Thanh Tâm","doi":"10.4171/rsmup/134","DOIUrl":"https://doi.org/10.4171/rsmup/134","url":null,"abstract":"This paper is divided into two parts. The first is a review, through categorical lenses, of the classical theory of regular-singular differential systems over $C((x))$ and $mathbb P^1_Csmallsetminus{0,infty}$, where $C$ is algebraically closed and of characteristic zero. It aims at reading the existing classification results as an equivalence between regular-singular systems and representations of the group $mathbb Z$. In the second part, we deal with regular-singular connections over $R((x))$ and $mathbb P_R^1smallsetminus{0,infty}$, where $R=C[[t_1,ldots,t_r]]/I$. The picture we offer shows that regular-singular connections are equivalent to representations of $mathbb Z$, now over $R$.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135938449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On the rational approximation to Thue–Morse rational numbers 论Thue-Morse有理数的有理逼近
Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2023-09-11 DOI: 10.4171/rsmup/133
Yann Bugeaud, Guo-Niu Han
{"title":"On the rational approximation to Thue–Morse rational numbers","authors":"Yann Bugeaud, Guo-Niu Han","doi":"10.4171/rsmup/133","DOIUrl":"https://doi.org/10.4171/rsmup/133","url":null,"abstract":"Let $b ge 2$ and $ell ge 1$ be integers. We establish that there is an absolute real number $K$ such that all the partial quotients of the rational number $$ prod_{h = 0}^ell , (1 - b^{-2^h}), $$ of denominator $b^{2^{ell+1} - 1}$, do not exceed $exp(K (log b)^2 sqrt{ell} 2^{ell/2})$.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135938452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
$G$-equivariance of formal models of flag varieties 旗变量形式模型的$G$等方差
Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2023-06-22 DOI: 10.4171/rsmup/104
Andrés Sarrazola Alzate
{"title":"$G$-equivariance of formal models of flag varieties","authors":"Andrés Sarrazola Alzate","doi":"10.4171/rsmup/104","DOIUrl":"https://doi.org/10.4171/rsmup/104","url":null,"abstract":"","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80001229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Orders of products of elements and nilpotency of terms in the lower central series and the derived series 下中心级数及派生级数中元素乘积的阶数与项的幂零
Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2023-04-20 DOI: 10.4171/rsmup/130
J. Martínez
{"title":"Orders of products of elements and nilpotency of terms in the lower central series and the derived series","authors":"J. Martínez","doi":"10.4171/rsmup/130","DOIUrl":"https://doi.org/10.4171/rsmup/130","url":null,"abstract":"– In this paper we prove that if 𝐺 is a finite group, then the 𝑘 -th term of the lower central series is nilpotent if and only if for every 𝛾 𝑘 -values 𝑥, 𝑦 ∈ 𝐺 with coprime orders, either 𝜋 ( 𝑜 ( 𝑥 ) 𝑜 ( 𝑦 )) ⊆ 𝜋 ( 𝑜 ( 𝑥𝑦 )) or 𝑜 ( 𝑥 ) 𝑜 ( 𝑦 ) ≤ 𝑜 ( 𝑥𝑦 ) . We obtain an analogous version for the derived series of finite solvable groups, but replacing 𝛾 𝑘 -values by 𝛿 𝑘 -values. We will also discuss the existence of normal Sylow subgroups in the derived subgroup in terms of the order of the product of certain elements.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75469623","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A formula for the minimal perimeter of clusters with density 具有密度的星团的最小周长公式
Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2023-03-17 DOI: 10.4171/rsmup/120
Vincenzo Scattaglia
{"title":"A formula for the minimal perimeter of clusters with density","authors":"Vincenzo Scattaglia","doi":"10.4171/rsmup/120","DOIUrl":"https://doi.org/10.4171/rsmup/120","url":null,"abstract":"This paper deals with the isoperimetric problem for clusters in a Euclidean space with double density. In particular, we show that a limit of an isoperimetric minimizing sequence of clusters with volumes V is always isoperimetric for its own volumes (which may be smaller than V). In particular, if it is strictly smaller, we provide an explicit formula. Mathematics Subject Classification (2020). Primary: 49Q10. Secondary: 49Q20, 58B20","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"1984 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82234267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Galois equivariant functions on Galois orbits in large $p$-adic fields 大$p$进域中伽罗瓦轨道上的伽罗瓦等变函数
Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2023-03-10 DOI: 10.4171/rsmup/127
V. Alexandru, M. Vâjâitu
{"title":"Galois equivariant functions on Galois orbits in large $p$-adic fields","authors":"V. Alexandru, M. Vâjâitu","doi":"10.4171/rsmup/127","DOIUrl":"https://doi.org/10.4171/rsmup/127","url":null,"abstract":"Given a prime number p let Cp be the topological completion of the algebraic closure of the field of p-adic numbers. Let O(T ) be the Galois orbit of a transcendental element T of Cp with respect to the absolute Galois group. Our aim is to study the class of Galois equivariant functions defined on O(T ) with values in Cp. We show that each function from this class is continuous and we characterize the class of Lipschitz functions, respectively the class of differentiable functions, with respect to a new orthonormal basis. Then we discuss some aspects related to analytic continuation for the functions of this class. Mathematics Subject Classification (2020). Primary: 11S99; Secondary: 11S20, 11S80.","PeriodicalId":20997,"journal":{"name":"Rendiconti del Seminario Matematico della Università di Padova","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87401714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信