Singularities in algebraic and analytic geometry /
Caroline Grant Melles, Ruth I. Michler, editors.
Providence, RI : American Mathematical Society, c2000.
xi, 187 p. : ill. ; 26 cm.
0821820052 (alk. paper)
More Details
Providence, RI : American Mathematical Society, c2000.
0821820052 (alk. paper)
catalogue key
Includes bibliographical references.
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SciTech Book News, March 2001
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Long Description
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; direct-sum 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.
Table of Contents
Factoring the Jacobian
Weak normalization and weak subintegral closure
Integral dependence and weak subintegrality
Singularities and direct-sum decompositions
Valuations in algebra and geometry
Simultaneous resolution of equisingular quasi-ordinary singularities
Single-step combinatorial resolution via coherent sheaves of ideals
Resolution graphs of some surface singularities, I. (Cyclic coverings)
Resolution graphs of some surface singularities, II. (Generalized Iomdin series)
Inequalities for spectral distributions of curve singularities
Isolated singularities with large Hochschild homology
Milnor classes via polar varieties
Table of Contents provided by Publisher. All Rights Reserved.

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