发布求助
文献互助 智能选刊 最新文献

Journal of Singularities最新文献

筛选
英文 中文
Topological classification of circle-valued simple Morse-Bott functions on closed orientable surfaces 闭合可定向曲面上圆值简单Morse-Bott函数的拓扑分类
IF 0.4
Journal of Singularities Pub Date : 2022-01-01 DOI: 10.5427/jsing.2018.17q
E. B. Batista, J. Costa, I. S. Meza-Sarmiento
{"title":"Topological classification of circle-valued simple Morse-Bott functions on closed orientable surfaces","authors":"E. B. Batista, J. Costa, I. S. Meza-Sarmiento","doi":"10.5427/jsing.2018.17q","DOIUrl":"https://doi.org/10.5427/jsing.2018.17q","url":null,"abstract":"","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":"150 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79453223","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: 7
Remarks on semi-simplicity of Alexander modules Alexander模的半简单性
IF 0.4
Journal of Singularities Pub Date : 2022-01-01 DOI: 10.5427/jsing.2022.25n
A. Libgober
{"title":"Remarks on semi-simplicity of Alexander modules","authors":"A. Libgober","doi":"10.5427/jsing.2022.25n","DOIUrl":"https://doi.org/10.5427/jsing.2022.25n","url":null,"abstract":"We discuss examples of smooth quasi-projective manifolds with non-reduced Alexander modules, giving a non-semisimple Alexander module in one variable case and prove a result giving sufficient conditions for semisimplicity.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":"25 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88453466","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
Monster towers from differential and algebraic viewpoints 怪物塔从微分和代数的观点
IF 0.4
Journal of Singularities Pub Date : 2022-01-01 DOI: 10.5427/jsing.2022.25o
P. Mormul
{"title":"Monster towers from differential and algebraic viewpoints","authors":"P. Mormul","doi":"10.5427/jsing.2022.25o","DOIUrl":"https://doi.org/10.5427/jsing.2022.25o","url":null,"abstract":"","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":"56 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88522220","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
Invariants and classification of simple function germs with respect to Lipschitz A-equivalence 关于Lipschitz a -等价的简单函数胚的不变量和分类
IF 0.4
Journal of Singularities Pub Date : 2022-01-01 DOI: 10.5427/jsing.2022.25p
Nhan Nguyen, S. Trivedi
{"title":"Invariants and classification of simple function germs with respect to Lipschitz A-equivalence","authors":"Nhan Nguyen, S. Trivedi","doi":"10.5427/jsing.2022.25p","DOIUrl":"https://doi.org/10.5427/jsing.2022.25p","url":null,"abstract":"","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74429213","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
Local Euler obstruction, old and new, III 局部欧拉阻塞，新旧
IF 0.4
Journal of Singularities Pub Date : 2022-01-01 DOI: 10.5427/jsing.2022.25e
J. Brasselet, Nivaldo G. Grulha Jr., Thuy Thi Bích Nguyên
{"title":"Local Euler obstruction, old and new, III","authors":"J. Brasselet, Nivaldo G. Grulha Jr., Thuy Thi Bích Nguyên","doi":"10.5427/jsing.2022.25e","DOIUrl":"https://doi.org/10.5427/jsing.2022.25e","url":null,"abstract":"","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":"14 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80880909","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: 4
Algebraic knots associated with Milnor fibrations 与米尔诺纤维有关的代数结
IF 0.4
Journal of Singularities Pub Date : 2022-01-01 DOI: 10.5427/jsing.2022.25b
Raimundo Nonato Araújo dos Santos, O. Saeki, T. O. Souza
{"title":"Algebraic knots associated with Milnor fibrations","authors":"Raimundo Nonato Araújo dos Santos, O. Saeki, T. O. Souza","doi":"10.5427/jsing.2022.25b","DOIUrl":"https://doi.org/10.5427/jsing.2022.25b","url":null,"abstract":"","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":"108 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88594503","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
On bi-Lipschitz invariance and the uniqueness of tangent cones 关于切锥的双lipschitz不变性和唯一性
IF 0.4
Journal of Singularities Pub Date : 2022-01-01 DOI: 10.5427/jsing.2022.25s
J. E. Sampaio, E. D. da Silva
{"title":"On bi-Lipschitz invariance and the uniqueness of tangent cones","authors":"J. E. Sampaio, E. D. da Silva","doi":"10.5427/jsing.2022.25s","DOIUrl":"https://doi.org/10.5427/jsing.2022.25s","url":null,"abstract":"","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":"132 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75418880","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: 6
Topological calculation of local cohomological dimension 局部上同维的拓扑计算
IF 0.4
Journal of Singularities Pub Date : 2021-08-29 DOI: 10.5427/jsing.2023.26b
Thomas Reichelt, M. Saito, U. Walther
{"title":"Topological calculation of local cohomological dimension","authors":"Thomas Reichelt, M. Saito, U. Walther","doi":"10.5427/jsing.2023.26b","DOIUrl":"https://doi.org/10.5427/jsing.2023.26b","url":null,"abstract":"We show that the sum of the local cohomological dimension and the rectified $mathbb Q$-homological depth of a closed analytic subspace of a complex manifold coincide with the dimension of the ambient manifold. The local cohomological dimension is then calculated using the cohomology of the links of the analytic space. In the algebraic case the first assertion is equivalent to the coincidence of the rectified $mathbb Q$-homological depth with the de Rham depth studied by Ogus, and follows essentially from his work. As a corollary we show that the local cohomological dimension of a quasi-projective variety is determined by that of its general hyperplane section together with the link cohomology at 0-dimensional strata of a complex analytic Whitney stratification.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":"28 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80902712","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
On the fifth Whitney cone of a complex analytic curve 复解析曲线的第五惠特尼锥
IF 0.4
Journal of Singularities Pub Date : 2021-06-26 DOI: 10.5427/jsing.2022.24c
A. G. Flores, O. N. Silva, J. Snoussi
{"title":"On the fifth Whitney cone of a complex analytic curve","authors":"A. G. Flores, O. N. Silva, J. Snoussi","doi":"10.5427/jsing.2022.24c","DOIUrl":"https://doi.org/10.5427/jsing.2022.24c","url":null,"abstract":"From a procedure to calculate the $C_5$-cone of a reduced complex analytic curve $X subset mathbb{C}^n$ at a singular point $0 in X$, we extract a collection of integers that we call {it auxiliary multiplicities} and we prove they characterize the Lipschitz type of complex curve singularities. We then use them to improve the known bounds for the number of irreducible components of the $C_5$-cone. We finish by giving an example showing that in a Lipschitz equisingular family of curves the number of planes in the $C_5$-cone may not be constant.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":"34 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75640045","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
Smooth rigidity and Remez inequalities via Topology of level sets 基于水平集拓扑的光滑刚性和Remez不等式
IF 0.4
Journal of Singularities Pub Date : 2021-06-13 DOI: 10.5427/jsing.2022.25v
Y. Yomdin
{"title":"Smooth rigidity and Remez inequalities via Topology of level sets","authors":"Y. Yomdin","doi":"10.5427/jsing.2022.25v","DOIUrl":"https://doi.org/10.5427/jsing.2022.25v","url":null,"abstract":"A smooth rigidity inequalitiy provides an explicit lower bound for the (d+1)st derivatives of a smooth function f , which holds, if f exhibits certain patterns, forbidden for polynomials of degree d. The main goal of the present paper is twofold: first, we provide an overview of some recent results and questions related to smooth rigidity, which recently were obtained in Singularity Theory, in Approximation Theory, and in Whitney smooth extensions. Second, we prove some new results, specifically, a new Remez-type inequality, and on this base we obtain a new rigidity inequality. In both parts of the paper we stress the topology of the level sets, as the input information. Here are the main new results of the paper: Let B be the unit n-dimensional ball. For a given integer d let Z ⊂ B be a smooth compact hypersurface with N = (d − 1) + 1 connected components Zj . Let μj be the n-volume of the interior of Zj, and put μ = minμj , j = 1, . . . , N . Then for each polynomial P of degree d on R we have maxBn |P | max Z |P | ≤ ( 4n μ ). As a consequence, we provide an explicit lower bound for the (d+1)-st derivatives of any smooth function f , which vanishes on Z, while being of order 1 on B (smooth rigidity): ||f || ≥ 1 (d+ 1)! ( 4n μ ). We also provide an interpretation, in terms of smooth rigidity, of one of the simplest versions of the results in [8].","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":"12 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77938837","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
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