Regular Functions Transversal at Infinity

Details Regular Functions Transversal at Infinity Regular Functions Transversal at Infinity

2005-04-07

arxiv.org/abs/math/0504128v1

Mathematics

Algebraic Geometry

This is a substantial improvement of the paper "Alexander Invariants and Transversality" by the first author, see math.AG/0411

Scientific paper

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.

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