Terence Gaffney

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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, $(t^{r})$ 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…

The Multiplicity Polar Theorem and Isolated Singularities

Equisingularity of sections, (tr) condition, and the integral closure of modules

Equisingularity of sections, $(t^{r})$ condition, and the integral closure of modules