**Contemporary Mathematics**

Volume: 90;
1989;
359 pp;
Softcover

MSC: Primary 32;
Secondary 00; 14

Print ISBN: 978-0-8218-5096-1

Product Code: CONM/90

List Price: $66.00

Individual Member Price: $52.80

**Electronic ISBN: 978-0-8218-7678-7
Product Code: CONM/90.E**

List Price: $66.00

Individual Member Price: $52.80

# Singularities

Share this page *Edited by *
*Richard Randell*

This volume contains the proceedings of the Institute for Mathematics
and its Applications Participating Institutions Conference on Singularities,
held at the University of Iowa in July 1986. The conference brought together an
international group of researchers in algebraic and analytic singularity
theory. This collection consists of research papers related to talks given at
the conference.

The field of singularities takes techniques from and gives results to many
areas of mathematics, including algebraic and differential geometry and
topology, complex analysis, Lie algebras and reflection groups, and
combinatorics. All these areas are represented here with an emphasis on local
algebraic, analytic and tangential properties, deformation and topology of
singularities, and arrangements of hyperplanes.

This volume will be of interest to current and prospective researchers in
various aspects of singularity theory, as it provides an overview of the
current state of singularity theory and details work in several subareas. Many
of the articles provide a basis for further research, and a list of problems
presented at the conference is included.

# Table of Contents

## Singularities

- Contents ix10 free
- List of Participants xi12 free
- Preface xv16 free
- Generically ample divisors on normal Gorenstein surfaces 118 free
- Topological equivalence for nonisolated singularities and global affine hypersurfaces 2138
- The cohomology and fundamental group of a hyperplane complement 5572
- The modified analytic trivialization of a family of real analytic mappings 7390
- On the topological types of quasi-ordinary surface germs 91108
- Report on the problem session 119136
- Two dimensional singularities with bounded pluri-genera δm are Q-Gorenstein singularities 135152
- Arrangements of hyperplanes and broken circuits 147164
- Simply connected four-manifolds obtained from weighted homogeneous polynomials 163180
- Holonomy Lie algebras, logarithmic connections and the lower central series of fundamental groups 171188
- Tangent cones for deformations of two-dimensional quasi-homogeneous singularities 183200
- On the weak simultaneous resolution of a negligible truncation of the Newton boundary 199216
- Basic derivations for unitary Reflection groups 211228
- Basic derivations for G34: Appendix to "Basic derivations for unitary reflection groups", by P. Orlik 225242
- Spaces of limiting tangent spaces 229246
- Series of isolated singularities 241258
- Quasihomogeneous singularities with transversal type A1 261278
- Dynkin graphs and combinations of singularities on plane sextic curves 295312
- The inequality μ ≥ 12pg – 4 for hypersurface weakly elliptic singularities 317334
- Multiarrangements of hyperplanes and their freeness 345362