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Singularities

Edited by: Richard Randell
Available Formats:
Electronic ISBN: 978-0-8218-7678-7
Product Code: CONM/90.E
List Price: $66.00 MAA Member Price:$59.40
AMS Member Price: $52.80 Click above image for expanded view Singularities Edited by: Richard Randell Available Formats:  Electronic ISBN: 978-0-8218-7678-7 Product Code: CONM/90.E  List Price:$66.00 MAA Member Price: $59.40 AMS Member Price:$52.80
• Book Details

Contemporary Mathematics
Volume: 901989; 359 pp
MSC: 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.

• 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 ]
• Yih-Nan Gau - On the topological types of quasi-ordinary surface germs [ MR 1000596 ]
• H. Hauser and R. Randell - Report on the problem session [ MR 1000597 ]
• Shihoko Ishii - Two-dimensional singularities with bounded pluri-genera $\delta _m$ are ${\bf Q}$-Gorenstein singularities [ MR 1000598 ]
• Michel Jambu and Hiroaki Terao - Arrangements of hyperplanes and broken circuits [ MR 1000599 ]
• M. Kannowski - Simply connected four-manifolds 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 two-dimensional quasi-homogeneous 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 ]
• Yi-Jung Xu and Stephen S.-T. Yau - The inequality $\mu \geq 12p_g-4$ for hypersurface weakly elliptic singularities [ MR 1000609 ]
• Günter M. Ziegler - Multiarrangements of hyperplanes and their freeness [ MR 1000610 ]
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 901989; 359 pp
MSC: 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.

• 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 ]
• Yih-Nan Gau - On the topological types of quasi-ordinary surface germs [ MR 1000596 ]
• H. Hauser and R. Randell - Report on the problem session [ MR 1000597 ]
• Shihoko Ishii - Two-dimensional singularities with bounded pluri-genera $\delta _m$ are ${\bf Q}$-Gorenstein singularities [ MR 1000598 ]
• Michel Jambu and Hiroaki Terao - Arrangements of hyperplanes and broken circuits [ MR 1000599 ]
• M. Kannowski - Simply connected four-manifolds 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 two-dimensional quasi-homogeneous 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 ]
• Yi-Jung Xu and Stephen S.-T. Yau - The inequality $\mu \geq 12p_g-4$ for hypersurface weakly elliptic singularities [ MR 1000609 ]
• Günter M. Ziegler - Multiarrangements of hyperplanes and their freeness [ MR 1000610 ]
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.