接触位点，非简并奇点的动力米尔诺纤维

IF 0.4 4区数学 Q4 MATHEMATICS Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-02-01 DOI:10.3792/pjaa.96.003

Q. Lê, T. Nguyen

{"title":"接触位点，非简并奇点的动力米尔诺纤维","authors":"Q. Lê, T. Nguyen","doi":"10.3792/pjaa.96.003","DOIUrl":null,"url":null,"abstract":": Inspired by Denef-Loeser’s identity of the Euler characteristic with compact supports of the contact loci with the Lefschetz numbers of a complex singularity, we study sheaf cohomology groups of contact loci of complex nondegenerate singularities. Moreover, also for these singularities, we obtain a motivic analogue of Leˆ Du˜ng Tra´ng’s work on a monodromy relation of a complex singularity and its restriction to a generic hyperplane.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"3 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Contact loci, motivic Milnor fibers of nondegenerate singularities\",\"authors\":\"Q. Lê, T. Nguyen\",\"doi\":\"10.3792/pjaa.96.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\": Inspired by Denef-Loeser’s identity of the Euler characteristic with compact supports of the contact loci with the Lefschetz numbers of a complex singularity, we study sheaf cohomology groups of contact loci of complex nondegenerate singularities. Moreover, also for these singularities, we obtain a motivic analogue of Leˆ Du˜ng Tra´ng’s work on a monodromy relation of a complex singularity and its restriction to a generic hyperplane.\",\"PeriodicalId\":49668,\"journal\":{\"name\":\"Proceedings of the Japan Academy Series A-Mathematical Sciences\",\"volume\":\"3 1\",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2020-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Japan Academy Series A-Mathematical Sciences\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3792/pjaa.96.003\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Japan Academy Series A-Mathematical Sciences","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3792/pjaa.96.003","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

受Denef-Loeser关于接触轨迹紧支撑欧拉特征与复奇点Lefschetz数的恒等的启发，我们研究了复非简并奇点接触轨迹的轴上同调群。此外，对于这些奇异点，我们也得到了Le - Du ~ ng Tra´ng关于复奇异点的单调关系及其对一般超平面的限制的一个动力模拟。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Contact loci, motivic Milnor fibers of nondegenerate singularities

: Inspired by Denef-Loeser’s identity of the Euler characteristic with compact supports of the contact loci with the Lefschetz numbers of a complex singularity, we study sheaf cohomology groups of contact loci of complex nondegenerate singularities. Moreover, also for these singularities, we obtain a motivic analogue of Leˆ Du˜ng Tra´ng’s work on a monodromy relation of a complex singularity and its restriction to a generic hyperplane.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceedings of the Japan Academy Series A-Mathematical Sciences 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published. A paper that is a résumé or an announcement (i.e. one whose details are to be published elsewhere) can also be submitted. The paper is published promptly if once communicated by a Member of the Academy at its General Meeting, which is held monthly except in July and in August.

期刊最新文献

Resurgent transseries, mould calculus and Connes-Kreimer Hopf algebra Crepant resolution of $\mathbf{A}^{4}/A_{4}$ in characteristic 2 A note on factorisation patterns of division polynomials of elliptic curves over finite fields Gosper’s strange series: A new, simplified proof and generalizations Non-purely non-symplectic automorphisms of odd order on $K3$ surfaces