eBook ISBN:  9780821878569 
Product Code:  CONM/266.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821878569 
Product Code:  CONM/266.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 266; 2000; 187 ppMSC: Primary 13; 14; 32
This volume contains the proceedings of an AMS special session held at the 1999 Joint Mathematics Meetings in San Antonio. The participants were an international group of researchers studying singularities from algebraic and analytic viewpoints. The contributed papers contain original results as well as some expository and historical material. This volume is dedicated to Oscar Zariski, on the one hundredth anniversary of his birth.
Topics include the role of valuation theory in algebraic geometry with recent applications to the structure of morphisms; algorithmic approaches to resolution of equisingular surface singularities and locally toric varieties; weak subintegral closures of ideals and Rees valuations; constructions of universal weakly subintegral extensions of rings; directsum decompositions of finitely generated modules; construction and examples of resolution graphs of surface singularities; Jacobians of meromorphic curves; investigation of spectral numbers of curve singularities using Puiseux pairs; Gröbner basis calculations of Hochschild homology for hypersurfaces with isolated singularities; and the theory of characteristic classes of singular spaces—a brief history with conjectures and open problems.
ReadershipGraduate students and research mathematicians interested in singularities, algebraic geometry, analytic geometry or commutative algebra with an interest in singularities.

Table of Contents

Articles

Shreeram S. Abhyankar and Abdallah Assi — Factoring the Jacobian [ MR 1792144 ]

Marie A. Vitulli — Weak normalization and weak subintegral closure [ MR 1792145 ]

Leslie G. Roberts — Integral dependence and weak subintegrality [ MR 1792146 ]

Roger Wiegand — Singularities and directsum decompositions [ MR 1792147 ]

S. Dale Cutkosky — Valuations in algebra and geometry [ MR 1792148 ]

Chunsheng Ban and Lee J. McEwan — Simultaneous resolution of equisingular quasiordinary singularities [ MR 1792149 ]

Caroline Grant Melles and Pierre Milman — Singlestep combinatorial resolution via coherent sheaves of ideals [ MR 1792150 ]

András Némethi — Resolution graphs of some surface singularities. I. Cyclic coverings [ MR 1792151 ]

András Némethi and Ágnes Szilárd — Resolution graphs of some surface singularities. II. Generalized Iomdin series [ MR 1792152 ]

Lee J. McEwan — Inequalities for spectral distributions of curve singularities [ MR 1792153 ]

Ruth I. Michler — Isolated singularities with large Hochschild homology [ MR 1792154 ]

JeanPaul Brasselet — Milnor classes via polar varieties [ MR 1792155 ]


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This volume contains the proceedings of an AMS special session held at the 1999 Joint Mathematics Meetings in San Antonio. The participants were an international group of researchers studying singularities from algebraic and analytic viewpoints. The contributed papers contain original results as well as some expository and historical material. This volume is dedicated to Oscar Zariski, on the one hundredth anniversary of his birth.
Topics include the role of valuation theory in algebraic geometry with recent applications to the structure of morphisms; algorithmic approaches to resolution of equisingular surface singularities and locally toric varieties; weak subintegral closures of ideals and Rees valuations; constructions of universal weakly subintegral extensions of rings; directsum decompositions of finitely generated modules; construction and examples of resolution graphs of surface singularities; Jacobians of meromorphic curves; investigation of spectral numbers of curve singularities using Puiseux pairs; Gröbner basis calculations of Hochschild homology for hypersurfaces with isolated singularities; and the theory of characteristic classes of singular spaces—a brief history with conjectures and open problems.
Graduate students and research mathematicians interested in singularities, algebraic geometry, analytic geometry or commutative algebra with an interest in singularities.

Articles

Shreeram S. Abhyankar and Abdallah Assi — Factoring the Jacobian [ MR 1792144 ]

Marie A. Vitulli — Weak normalization and weak subintegral closure [ MR 1792145 ]

Leslie G. Roberts — Integral dependence and weak subintegrality [ MR 1792146 ]

Roger Wiegand — Singularities and directsum decompositions [ MR 1792147 ]

S. Dale Cutkosky — Valuations in algebra and geometry [ MR 1792148 ]

Chunsheng Ban and Lee J. McEwan — Simultaneous resolution of equisingular quasiordinary singularities [ MR 1792149 ]

Caroline Grant Melles and Pierre Milman — Singlestep combinatorial resolution via coherent sheaves of ideals [ MR 1792150 ]

András Némethi — Resolution graphs of some surface singularities. I. Cyclic coverings [ MR 1792151 ]

András Némethi and Ágnes Szilárd — Resolution graphs of some surface singularities. II. Generalized Iomdin series [ MR 1792152 ]

Lee J. McEwan — Inequalities for spectral distributions of curve singularities [ MR 1792153 ]

Ruth I. Michler — Isolated singularities with large Hochschild homology [ MR 1792154 ]

JeanPaul Brasselet — Milnor classes via polar varieties [ MR 1792155 ]