Monodromy and Hodge theory of regular functions (Q2754593)

This article is largely propaganda to interest people in studying the relations between the global properties of ``weakly'' tame polynomials (i.e., polynomials with good behavior at infinity) and the dual situation of local properties of isolated hypersurface singularities. The main results obtained by the author are a detailed computation of the spectrum and spectral pairs for certain polynomials in two variables: the (local) elliptic fibrations and the Briançon polynomial. He also obtains a necessary and sufficient condition for such a polynomial to have a symmetric spectrum at infinity. He discusses the limit mixed Hodge structure at infinity on the cohomology of the generic fiber of a weakly tame polynomial.NEWLINENEWLINEFor the entire collection see [Zbl 0968.00034].