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Unipotent nearby cycles and nearby cycles over general bases 一般基上的单能邻近循环和邻近循环
IF 0.4
Journal of Singularities Pub Date : 2024-01-30 DOI: 10.5427/jsing.2024.27b
Andrew Salmon
{"title":"Unipotent nearby cycles and nearby cycles over general bases","authors":"Andrew Salmon","doi":"10.5427/jsing.2024.27b","DOIUrl":"https://doi.org/10.5427/jsing.2024.27b","url":null,"abstract":"We show that under some conditions, two constructions of nearby cycles over general bases coincide. More specifically, we show that under the assumption of $Psi$-factorizability, the constructions of unipotent nearby cycles over an affine space can be described using the theory of nearby cycles over general bases via the vanishing topos. In particular, this applies to nearby cycles of Satake sheaves on Beilinson-Drinfeld Grassmannians with parahoric ramification.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140484686","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
Round fold maps of n-dimensional manifolds into (n-1)-dimensional Euclidean space n维流形到(n-1)维欧几里德空间的圆折叠映射
IF 0.4
Journal of Singularities Pub Date : 2023-01-01 DOI: 10.5427/jsing.2023.26a
Naoki Kitazawa, O. Saeki
{"title":"Round fold maps of n-dimensional manifolds into (n-1)-dimensional Euclidean space","authors":"Naoki Kitazawa, O. Saeki","doi":"10.5427/jsing.2023.26a","DOIUrl":"https://doi.org/10.5427/jsing.2023.26a","url":null,"abstract":"","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73283053","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
Canonical stratification of definable Lie groupoids 可定义李群的典型分层
Journal of Singularities Pub Date : 2023-01-01 DOI: 10.5427/jsing.2023.26d
Masato Tanabe
{"title":"Canonical stratification of definable Lie groupoids","authors":"Masato Tanabe","doi":"10.5427/jsing.2023.26d","DOIUrl":"https://doi.org/10.5427/jsing.2023.26d","url":null,"abstract":"Our aim is to precisely present a tame topology counterpart to canonical stratification of a Lie groupoid. We consider a definable Lie groupoid in semialgebraic, subanalytic, o-minimal over R, or more generally, Shiota's X-category. We show that there exists a canonical Whitney stratification of the Lie groupoid into definable strata which are invariant under the groupoid action. This is a generalization and refinement of results on real algebraic group action which J.N. Mather and V.A. Vassiliev independently stated with sketchy proofs. A crucial change to their proofs is to use Shiota's isotopy lemma and approximation theorem in the context of tame topology.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135650631","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
Zariski multiples associated with quartic curves 与四次曲线相关的扎里斯基倍数
IF 0.4
Journal of Singularities Pub Date : 2022-09-24 DOI: 10.5427/jsing.2022.24g
I. Shimada
{"title":"Zariski multiples associated with quartic curves","authors":"I. Shimada","doi":"10.5427/jsing.2022.24g","DOIUrl":"https://doi.org/10.5427/jsing.2022.24g","url":null,"abstract":". We investigate Zariski multiples of plane curves Z 1 ,...,Z N such that each Z i is a union of a smooth quartic curve, some of its bitangents, and some of its 4-tangent conics. We show that, for plane curves of this type, the deformation types are equal to the homeomorphism types, and that the number of deformation types grows as O ( d 62 ) when the degree d of the plane curves tends to infinity.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76778602","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
Classification at infinity of polynomials of degree 3 in 3 variables 3次多项式在无穷远处的3变量分类
IF 0.4
Journal of Singularities Pub Date : 2022-01-26 DOI: 10.5427/jsing.2022.25r
N. Ribeiro
{"title":"Classification at infinity of polynomials of degree 3 in 3 variables","authors":"N. Ribeiro","doi":"10.5427/jsing.2022.25r","DOIUrl":"https://doi.org/10.5427/jsing.2022.25r","url":null,"abstract":"We classify singularities at infinity of polynomials of degree 3 in 3 variables, f(x0, x1, x2) = f1(x0, x1, x2) + f2(x0, x1, x2) + f3(x0, x1, x2), fi homogeneous polynomial of degree i, i = 1, 2, 3. Based on this classification, we calculate the jump in the Milnor number of an isolated singularity at infinity, when we pass from the special fiber to a generic fiber. As an application of the results, we investigate the existence of global fibrations of degree 3 polynomials in C and search for information about the topology of the fibers in each equivalence class.","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84499867","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
Right Network-Preserving Diffeomorphisms 右保网络微分同态
IF 0.4
Journal of Singularities Pub Date : 2022-01-01 DOI: 10.5427/jsing.2022.25a
F. Antoneli, Ian M. Stewart
{"title":"Right Network-Preserving Diffeomorphisms","authors":"F. Antoneli, Ian M. Stewart","doi":"10.5427/jsing.2022.25a","DOIUrl":"https://doi.org/10.5427/jsing.2022.25a","url":null,"abstract":"","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81929627","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
Critical principal singularities of hypersurfaces in Euclidean 4-spaces 欧几里得4-空间超曲面的临界主奇异性
IF 0.4
Journal of Singularities Pub Date : 2022-01-01 DOI: 10.5427/jsing.2022.25i
R. Garcia, D. Lopes, J. Sotomayor
{"title":"Critical principal singularities of hypersurfaces in Euclidean 4-spaces","authors":"R. Garcia, D. Lopes, J. Sotomayor","doi":"10.5427/jsing.2022.25i","DOIUrl":"https://doi.org/10.5427/jsing.2022.25i","url":null,"abstract":"","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82163640","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
The Delta Invariant and Fiberwise Normalization for Families of isolated Non-Normal Singularities 孤立非正态奇点族的δ不变量和光纤归一化
IF 0.4
Journal of Singularities Pub Date : 2022-01-01 DOI: 10.5427/jsing.2022.25j
G. Greuel, G. Pfister
{"title":"The Delta Invariant and Fiberwise Normalization for Families of isolated Non-Normal Singularities","authors":"G. Greuel, G. Pfister","doi":"10.5427/jsing.2022.25j","DOIUrl":"https://doi.org/10.5427/jsing.2022.25j","url":null,"abstract":"","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78892060","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
Fundamental group of rational homology disk smoothings of surface singularities 曲面奇点的有理同调盘光滑的基本群
IF 0.4
Journal of Singularities Pub Date : 2022-01-01 DOI: 10.5427/jsing.2022.24e
E. Artal Bartolo, J. Wahl
{"title":"Fundamental group of rational homology disk smoothings of surface singularities","authors":"E. Artal Bartolo, J. Wahl","doi":"10.5427/jsing.2022.24e","DOIUrl":"https://doi.org/10.5427/jsing.2022.24e","url":null,"abstract":"","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72370978","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
Homologically trivial integrable deformations of germs of holomorphic functions 全纯函数胚芽的同调平凡可积变形
IF 0.4
Journal of Singularities Pub Date : 2022-01-01 DOI: 10.5427/jsing.2022.24d
V. León, B. Scárdua
{"title":"Homologically trivial integrable deformations of germs of holomorphic functions","authors":"V. León, B. Scárdua","doi":"10.5427/jsing.2022.24d","DOIUrl":"https://doi.org/10.5427/jsing.2022.24d","url":null,"abstract":"","PeriodicalId":44411,"journal":{"name":"Journal of Singularities","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84124479","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
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