• Corpus ID: 234340502

Almost non-degenerate functions and a Zariski pair of links

@inproceedings{Oka2021AlmostNF,
  title={Almost non-degenerate functions and a Zariski pair of links},
  author={Mutsuo Oka},
  year={2021}
}
  • M. Oka
  • Published 8 May 2021
  • Mathematics
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. 

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References

SHOWING 1-10 OF 21 REFERENCES
On the Fundamental Group of the Complement of a Node Curve
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
A calculus for plumbing applied to the topology of complex surface singularities and degenerating complex curves
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
On Fermat curves and maximal nodal curves
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
Singular points of complex hypersurfaces
The description for this book, Singular Points of Complex Hypersurfaces. (AM-61), will be forthcoming.
The topology of normal singularities of an algebraic surface and a criterion for simplicity
© Publications mathematiques de l’I.H.E.S., 1961, tous droits reserves. L’acces aux archives de la revue « Publications mathematiques de l’I.H.E.S. » (http://www.
Normal Two-Dimensional Singularities.
*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
Symmetric plane curves with nodes and cusps
Un résultat sur la monodromie
La fonction zêta d'une monodromie
...
1
2
3
...