3 papers
math.AG2005
The Multiplicity Polar Theorem and Isolated Singularities
Terence Gaffney
Using invariants from commutative algebra to count geometric objects is a basic idea in singularities. For example, the multiplicity of an ideal is used to count points of intersec…
math.AG2005
Equisingularity of sections, condition, and the integral closure of modules
Terence Gaffney, David Trotman, Leslie Wilson
This paper uses the theory of integral closure of modules to study the sections of both real and complex analytic spaces. The stratification conditions used are the (t^) conditions…
math.CV2005
Nilpotents, Integral Closure and Equisingularity conditions
Terence Gaffney
In earlier work, the author described various stratification conditions for a complex analytic set X in terms of the theory of integral closure of modules. However, even if an anal…