By calculating the equivariant mixed Hodge numbers of motivic Milnor fibers introduced by Denef-Loeser, we obtain explicit formulas for the Jordan normal forms of Milnor mon- odromies. The numbers of the Jordan blocks will be described by the Newton polyhedron of the polynomial.
|Number of pages||20|
|Journal||Publications of the Research Institute for Mathematical Sciences|
|Publication status||Published - 2014|
- Milnor fiber
- Milnor monodromy
- Mixed Hodge number
- Newton polyhedron