Singularities in Algebraic and Analytic Geometry

Singularities in Algebraic and Analytic Geometry

4.11 - 1251 ratings - Source

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; Grobner 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.[4] ABHYANKAR, S., Ramification theoretic methods in algebraic geometry, Princeton University Press, 1959. [5] ABHYANKAR, S. ... C. Ban, A Whitney stratification and equisingular family VALUATIONS IN ALGEBRA AND GEOMETRY 61.

Title:Singularities in Algebraic and Analytic Geometry
Author:Caroline Grant Melles, Ruth Ingrid Michler
Publisher:American Mathematical Soc. - 2000


You Must CONTINUE and create a free account to access unlimited downloads & streaming