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.
"Contact loci, motivic Milnor fibers of nondegenerate singularities." Proc. Japan Acad. Ser. A Math. Sci. 96 (2) 13 - 17, February 2020. https://doi.org/10.3792/pjaa.96.003