Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials

Abstract

We give three new proofs of a theorem of C. Sabbah asserting that the weight filtration of the limit mixed Hodge structure at infinity of cohomologically tame polynomials coincides with the monodromy filtration up to a certain shift depending on the unipotent or non-unipotent monodromy part.

14 pages, Appendix is separated, and became a paper "Some remarks on limit mixed Hodge structure and spectrum"