Proc. Japan Acad. Ser. A Math. Sci. 96 (2), 13-17, (February 2020) DOI: 10.3792/pjaa.96.003
Quy Thuong Lê, Tat Thang Nguyen
KEYWORDS: arc spaces, contact loci, motivic Milnor fiber, nondegenerate singularity, 14B05, 14E18, 14M25, 32S05, 32S55
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.