Regular Functions Transversal at Infinity
代数几何
2007-05-23 v1 代数拓扑
摘要
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.
引用
@article{arxiv.math/0504128,
title = {Regular Functions Transversal at Infinity},
author = {Alexandru Dimca and Anatoly Libgober},
journal= {arXiv preprint arXiv:math/0504128},
year = {2007}
}
备注
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