Regular Functions Transversal at Infinity

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We generalize and complete some of Maxim's recent results on Alexander invariants of a polynomial transversal to the hyperplane at infinity. Roughly speaking, and surprisingly, such a polynomial behaves both topologically and algebraically (e.g. in terms of the variation of MHS on the cohomology of its smooth fibers), like a homogeneous polynomial.
This is a substantial improvement of the paper "Alexander Invariants and Transversality" by the first author, see math.AG/0411329. Both the topology and the associated mixed Hodge structures (not touched in the previous paper) are clearly described

Keywords

Algebraic Geometry, Algebraic Topology, 32S20, 32S22, 32S35, 14D05, 14J70

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/74817

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504128
 http://arxiv.org/abs/math/0504128

Collections

arXiv