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
Nearby cycles for parity sheaves on a divisor with simple normal crossings 具有简单法向交叉的除数上宇称轴的邻近环
IF 0.4
Journal of Singularities Pub Date : 2018-12-19 DOI: 10.5427/jsing.2020.20o
Pramod N. Achar, L. Rider
{"title":"Nearby cycles for parity sheaves on a divisor with simple normal crossings","authors":"Pramod N. Achar, L. Rider","doi":"10.5427/jsing.2020.20o","DOIUrl":"https://doi.org/10.5427/jsing.2020.20o","url":null,"abstract":"The first author recently introduced a \"nearby cycles formalism\" in the framework of chain complexes of parity sheaves. In this paper, we compute this functor in two related settings: (i) affine space, stratified by the action of a torus, and (ii) the global Schubert variety associated to the first fundamental coweight of the group $PGL_n$. The latter is a parity-sheaf analogue of Gaitsgory's central sheaf construction.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79905656","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 Milnor Fiber Boundary of a Quasi-Ordinary Surface 拟普通曲面的Milnor纤维边界
IF 0.4
Journal of Singularities Pub Date : 2018-11-02 DOI: 10.5427/JSING.2019.19C
G. Kennedy, Lee J. McEwan
{"title":"On the Milnor Fiber Boundary of a Quasi-Ordinary Surface","authors":"G. Kennedy, Lee J. McEwan","doi":"10.5427/JSING.2019.19C","DOIUrl":"https://doi.org/10.5427/JSING.2019.19C","url":null,"abstract":"We give a recursive formula, expressed in terms of the characteristic tuples, for the Betti numbers of the boundary of the Milnor fiber of an irreducible quasi-ordinary surface. The singular locus of the surface consists of two components, and for each component we introduce a sequence of increasingly simpler surfaces. Our recursion depends on a detailed comparison of these two sequences. In the final section, we indicate how we expect pieces of these associated surfaces to glue together to reconstruct the Milnor fiber and its boundary.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76833587","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
Middle multiplicative convolution and hypergeometric equations 中间乘法卷积和超几何方程
IF 0.4
Journal of Singularities Pub Date : 2018-09-24 DOI: 10.5427/jsing.2021.23k
Nicolas Martin
{"title":"Middle multiplicative convolution and hypergeometric equations","authors":"Nicolas Martin","doi":"10.5427/jsing.2021.23k","DOIUrl":"https://doi.org/10.5427/jsing.2021.23k","url":null,"abstract":"Using a relation due to Katz linking up additive and multiplicative convolutions, we make explicit the behaviour of some Hodge invariants by middle multiplicative convolution, following [DS13] and [Mar18a] in the additive case. Moreover, the main theorem gives a new proof of a result of Fedorov computing the Hodge invariants of hypergeometric equations.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85301093","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
Symmetries of special 2-flags 特殊双旗的对称性
IF 0.4
Journal of Singularities Pub Date : 2018-09-12 DOI: 10.5427/jsing.2020.21k
P. Mormul, F. Pelletier
{"title":"Symmetries of special 2-flags","authors":"P. Mormul, F. Pelletier","doi":"10.5427/jsing.2020.21k","DOIUrl":"https://doi.org/10.5427/jsing.2020.21k","url":null,"abstract":"This work is a continuation of authors' research interrupted in the year 2010. Derived are recursive relations describing for the first time all infinitesimal symmetries of special 2-flags (sometimes also misleadingly called `Goursat 2-flags'). When algorithmized to the software level, they will give an answer filling in the gap in knowledge as of 2010: on one side the local finite classification of special 2-flags known in lengths not exceeding four, on the other side the existence of a continuous numerical modulus of that classification in length seven.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74049438","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
Recognition Problem of Frontal Singularities 正面奇异点识别问题
IF 0.4
Journal of Singularities Pub Date : 2018-08-29 DOI: 10.5427/jsing.2020.21i
G. Ishikawa
{"title":"Recognition Problem of Frontal Singularities","authors":"G. Ishikawa","doi":"10.5427/jsing.2020.21i","DOIUrl":"https://doi.org/10.5427/jsing.2020.21i","url":null,"abstract":"This is a survey article on recognition problem of frontal singularities. We specify geometrically several frontal singularities and then we solve the recognition problem of such singularities, giving explicit normal forms. We combine the recognition results by K. Saji and several arguments on openings, which was performed for the classification of singularities of tangent surfaces (tangent developables) by the author. As an application of our solutions of recognition problem of frontal singularities, we announce the classification of singularities appearing in tangent surfaces of generic null curves which are ruled by null geodesics in general Lorentz three-manifolds, mentioning related recognition results and open problems.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87259705","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: 11
$mu$-constant deformations of functions on an ICIS $mu$- ICIS上函数的常数变形
IF 0.4
Journal of Singularities Pub Date : 2018-06-29 DOI: 10.5427/jsing.2019.19i
R. S. Carvalho, B. Oréfice-Okamoto, J. N. Tomazella
{"title":"$mu$-constant deformations of functions on an ICIS","authors":"R. S. Carvalho, B. Oréfice-Okamoto, J. N. Tomazella","doi":"10.5427/jsing.2019.19i","DOIUrl":"https://doi.org/10.5427/jsing.2019.19i","url":null,"abstract":"We study deformations of holomorphic function germs $f:(X,0)tomathbb C$ where $(X,0)$ is an ICIS. We present conditions for these deformations to have constant Milnor number, Euler obstruction and Bruce-Roberts number.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75996591","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
Kato's chaos created by quadratic mappings associated with spherical orthotomic curves 加藤混沌是由与球面正交曲线相关的二次映射产生的
IF 0.4
Journal of Singularities Pub Date : 2018-06-10 DOI: 10.5427/jsing.2020.21l
T. Nishimura
{"title":"Kato's chaos created by quadratic mappings associated with spherical orthotomic curves","authors":"T. Nishimura","doi":"10.5427/jsing.2020.21l","DOIUrl":"https://doi.org/10.5427/jsing.2020.21l","url":null,"abstract":"Singular quadratic mappings creating Kato’s chaos are given.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89357171","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
Quasi-periodic motions on symplectic tori 辛环面上的拟周期运动
IF 0.4
Journal of Singularities Pub Date : 2018-05-23 DOI: 10.5427/jsing.2023.26c
M. Garay, A. Kessi, D. Straten, N. Yousfi
{"title":"Quasi-periodic motions on symplectic tori","authors":"M. Garay, A. Kessi, D. Straten, N. Yousfi","doi":"10.5427/jsing.2023.26c","DOIUrl":"https://doi.org/10.5427/jsing.2023.26c","url":null,"abstract":"The results of Kolmogorov, Arnold, and Moser on the stability of quasi-periodic motions spanning lagrangian tori in Hamiltonian systems are of fundamental importance and led to the development of KAM theory. Over the years, many variations of these results on quasi-periodic motions have been considered. In this paper, we present a more conceptual way of attacking such problems by considering the particular case of quasi-periodic motions on symplectic tori.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89059540","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
Jet Bundles on Gorenstein Curves and Applications Gorenstein曲线上的射流束及其应用
IF 0.4
Journal of Singularities Pub Date : 2018-04-12 DOI: 10.5427/jsing.2020.21d
Letterio Gatto, Andrea T. Ricolfi
{"title":"Jet Bundles on Gorenstein Curves and Applications","authors":"Letterio Gatto, Andrea T. Ricolfi","doi":"10.5427/jsing.2020.21d","DOIUrl":"https://doi.org/10.5427/jsing.2020.21d","url":null,"abstract":"In the last twenty years a number of papers appeared aiming to construct locally free replacements of the sheaf of principal parts for families of Gorenstein curves. The main goal of this survey is to present to the widest possible audience of mathematical readers a catalogue of such constructions, discussing the related literature and reporting on a few applications to classical problems in Enumerative Algebraic Geometry.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78082766","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
Bouquet decomposition for Determinantal Milnor fibers 决定性密尔诺纤维的花束分解
IF 0.4
Journal of Singularities Pub Date : 2018-04-06 DOI: 10.5427/jsing.2020.22m
M. Zach
{"title":"Bouquet decomposition for Determinantal Milnor fibers","authors":"M. Zach","doi":"10.5427/jsing.2020.22m","DOIUrl":"https://doi.org/10.5427/jsing.2020.22m","url":null,"abstract":"We provide a bouquet decomposition for the determinantal Milnor fiber of an essentially isolated determinantal singularity of arbitrary type $(m,n,t)$. The building blocks in the decomposition are (suspensions of) hyperplane sections of the associated generic determinantal variety $M_{m,n}^t$ in general position off the origin.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83693134","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
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