Electronic ISBN:  9780821876787 
Product Code:  CONM/90.E 
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Book DetailsContemporary MathematicsVolume: 90; 1989; 359 ppMSC: Primary 32; Secondary 00; 14;
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

Articles

Marco Andreatta and Andrew John Sommese  Generically ample divisors on normal Gorenstein surfaces [ MR 1000592 ]

James Damon  Topological equivalence for nonisolated singularities and global affine hypersurfaces [ MR 1000593 ]

Michael Falk  The cohomology and fundamental group of a hyperplane complement [ MR 1000594 ]

Toshizumi Fukui  The modified analytic trivialization of a family of real analytic mappings [ MR 1000595 ]

YihNan Gau  On the topological types of quasiordinary surface germs [ MR 1000596 ]

H. Hauser and R. Randell  Report on the problem session [ MR 1000597 ]

Shihoko Ishii  Twodimensional singularities with bounded plurigenera $\delta _m$ are ${\bf Q}$Gorenstein singularities [ MR 1000598 ]

Michel Jambu and Hiroaki Terao  Arrangements of hyperplanes and broken circuits [ MR 1000599 ]

M. Kannowski  Simply connected fourmanifolds obtained from weighted homogeneous polynomials [ MR 1000600 ]

Toshitake Kohno  Holonomy Lie algebras, logarithmic connections and the lower central series of fundamental groups [ MR 1000601 ]

Henry B. Laufer  Tangent cones for deformations of twodimensional quasihomogeneous singularities [ MR 1000602 ]

Mutsuo Oka  On the weak simultaneous resolution of a negligible truncation of the Newton boundary [ MR 1000603 ]

Peter Orlik  Basic derivations for unitary reflection groups [ MR 1000604 ]

Donal B. O’Shea  Spaces of limiting tangent spaces [ MR 1000605 ]

Ruud Pellikaan  Series of isolated singularities [ MR 1000606 ]

Dirk Siersma  Quasihomogeneous singularities with transversal type $A_1$ [ MR 1000607 ]

Tohsuke Urabe  Dynkin graphs and combinations of singularities on plane sextic curves [ MR 1000608 ]

YiJung Xu and Stephen S.T. Yau  The inequality $\mu \geq 12p_g4$ for hypersurface weakly elliptic singularities [ MR 1000609 ]

Günter M. Ziegler  Multiarrangements of hyperplanes and their freeness [ MR 1000610 ]


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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.

Articles

Marco Andreatta and Andrew John Sommese  Generically ample divisors on normal Gorenstein surfaces [ MR 1000592 ]

James Damon  Topological equivalence for nonisolated singularities and global affine hypersurfaces [ MR 1000593 ]

Michael Falk  The cohomology and fundamental group of a hyperplane complement [ MR 1000594 ]

Toshizumi Fukui  The modified analytic trivialization of a family of real analytic mappings [ MR 1000595 ]

YihNan Gau  On the topological types of quasiordinary surface germs [ MR 1000596 ]

H. Hauser and R. Randell  Report on the problem session [ MR 1000597 ]

Shihoko Ishii  Twodimensional singularities with bounded plurigenera $\delta _m$ are ${\bf Q}$Gorenstein singularities [ MR 1000598 ]

Michel Jambu and Hiroaki Terao  Arrangements of hyperplanes and broken circuits [ MR 1000599 ]

M. Kannowski  Simply connected fourmanifolds obtained from weighted homogeneous polynomials [ MR 1000600 ]

Toshitake Kohno  Holonomy Lie algebras, logarithmic connections and the lower central series of fundamental groups [ MR 1000601 ]

Henry B. Laufer  Tangent cones for deformations of twodimensional quasihomogeneous singularities [ MR 1000602 ]

Mutsuo Oka  On the weak simultaneous resolution of a negligible truncation of the Newton boundary [ MR 1000603 ]

Peter Orlik  Basic derivations for unitary reflection groups [ MR 1000604 ]

Donal B. O’Shea  Spaces of limiting tangent spaces [ MR 1000605 ]

Ruud Pellikaan  Series of isolated singularities [ MR 1000606 ]

Dirk Siersma  Quasihomogeneous singularities with transversal type $A_1$ [ MR 1000607 ]

Tohsuke Urabe  Dynkin graphs and combinations of singularities on plane sextic curves [ MR 1000608 ]

YiJung Xu and Stephen S.T. Yau  The inequality $\mu \geq 12p_g4$ for hypersurface weakly elliptic singularities [ MR 1000609 ]

Günter M. Ziegler  Multiarrangements of hyperplanes and their freeness [ MR 1000610 ]