Contact loci, motivic Milnor fibers of nondegenerate singularities

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Quy Thuong Lê¹  Tat Thang Nguyen² 

[1]VNU University of Science, Vietnam National University

[2]Institute of Mathematics - VAST

关键词: Arc spaces;    contact loci;    motivic Milnor fiber;    nondegenerate singularity.;   

DOI  :  10.3792/pjaa.96.003

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

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 Lê Dũng Tráng’s work on a monodromy relation of a complex singularity and its restriction to a generic hyperplane.

【 授权许可】

Unknown