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

Abstract

We study the Jordan normal forms of the local and global monodromies over complete intersection subvarieties of $C^n$ by using the theory of motivic Milnor fibers. The results will be explicitly described by the mixed volumes of the faces of Newton polyhedrons.

34 pages, 1 picture, revised

References in corpus (3)

• Milnor fibers over singular toric varieties and nearby cycle sheaves
• Combinatorial aspects of the mixed Hodge structure
• Newton polyhedra of discriminants of projections

Cited by in corpus (1)

• Motivic Milnor fibers and Jordan normal forms of Milnor monodromies