Let f(z) be an analytic function defined in the neighborhood of the origin of C which have some Newton degenerate faces. We generalize the Varchenko formula for the zeta function of the Milnor fibration of a Newton non-degenerate function f to this case. As an application, we give an example of a pair of hypersurfaces with the same Newton boundary and the same zeta function with non-homeomorphic link manifolds.

where dl, * dt are the degrees of the irreducible components of C, would follow if one knew that the intersection of all subgroups of finite index in r(P 2C) were trivial. Zariski's original goal of… Expand

Any graph-manifold can be obtained by plumbing according to some plumbing graph I\ A calculus for plumbing which includes normal forms for such graphs is developed. This is applied to answer several… Expand

Let f(x) = a(x − α1) · · · (x − αn), a > 0, be a real polynomial with n distinct real roots; it has [(n − 1)/2] maxima and (n − 1) − [(n − 1)/2] minima. Thom has studied the space of real polynomials… Expand

*Frontmatter, pg. i*PREFACE, pg. vii*INTRODUCTION, pg. ix*CONTENTS, pg. xi*CHAPTER I. RESOLUTION OF PLANE CURVE SINGULARITIES, pg. 1*CHAPTER II. RESOLUTION OF SINGULARITIES OF TWO-DIMENSIONAL… Expand