Motivic Milnor fibers over complete intersection varieties and their virtual Betti numbers (Q2909346)

The authors study the Jordan normal forms of the local and global monodromies over complete intersection subvarieties of \({\mathbb C}^n\) by using the theory of motivic Milnor fibers and their Hodge realizations developed by \textit{J. Denef} and \textit{F. Loeser} [J. Algebr. Geom. 7, No. 3, 505--537 (1998; Zbl 0943.14010); Prog. Math. 201, 327--348 (2001; Zbl 1079.14003)], \textit{G. Guibert, F. Loeser} and \textit{M. Merle} [Duke Math. J. 132, No. 3, 409--457 (2006; Zbl 1173.14301)], \textit{Y. Matsui} and the second author [``Monodromy at infinity of polynomial maps and Newton polyhedra (with appendix by C. Sabbah)'', Preprint, \url{arXiv:0912.5144}]. The results are explicitly described by the mixed volumes of the faces of Newton polyhedra.