
Mathematics 2012
Monodromy zetafunction of a polynomial on a complete intersection and Newton polyhedraAbstract: For a generic (polynomial) oneparameter deformation of a complete intersection, there is defined its monodromy zetafunction. We provide explicit formulae for this zetafunction in terms of the corresponding Newton polyhedra in the case the deformation is nondegenerate with respect to its Newton polyhedra. Using this result we obtain the formula for the monodromy zetafunction at the origin of a polynomial on a complete intersection, which is an analog of the LibgoberSperber theorem.
