Open Access
February 2020 Contact loci, motivic Milnor fibers of nondegenerate singularities
Quy Thuong Lê, Tat Thang Nguyen
Proc. Japan Acad. Ser. A Math. Sci. 96(2): 13-17 (February 2020). DOI: 10.3792/pjaa.96.003


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.


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Quy Thuong Lê. Tat Thang Nguyen. "Contact loci, motivic Milnor fibers of nondegenerate singularities." Proc. Japan Acad. Ser. A Math. Sci. 96 (2) 13 - 17, February 2020.


Published: February 2020
First available in Project Euclid: 4 February 2020

zbMATH: 07192782
MathSciNet: MR4059929
Digital Object Identifier: 10.3792/pjaa.96.003

Primary: 14B05 , 14E18 , 14M25 , 32S05 , 32S55

Keywords: arc spaces , contact loci , motivic Milnor fiber , nondegenerate singularity

Rights: Copyright © 2020 The Japan Academy

Vol.96 • No. 2 • February 2020
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