4 papers · 1 filter
The Orevkov invariant of an affine plane curve
Walter D. Neumann, Paul Norbury
We show that although the fundamental group of the complement of an algebraic affine plane curve is not easy to compute, it possesses a more accessible quotient, which we call the…
Rational polynomials of simple type
Walter D. Neumann, Paul Norbury
We classify two-variable polynomials which are rational of simple type. These are precisely the two-variable polynomials with trivial homological monodromy.
Unfolding polynomial maps at infinity
Walter D. Neumann, Paul Norbury
We give a topological model for a polynomial map from $\C^n$ to $\C$ in the neighborhood of a fiber with isolated singularities. This is motivated out of the ``unfolding of links''…
Nontrivial rational polynomials in two variables have reducible fibres
Walter D. Neumann, Paul Norbury
It has been proved several times in the literature that a polynomial map from to with irreducible rational fibers cannot be a component of a counterexample to the Jacobia…