IPA-deformations of functions on affine space
David B. Massey
TL;DR
This paper studies special deformations of functions on affine space that focus on a specific point, leading to improved understanding of the Milnor fiber's cohomology.
Contribution
It introduces a class of deformations that facilitate the analysis of Milnor fiber cohomology in affine space functions.
Findings
Deformations localize at a distinguished zero-locus point.
Enhanced results on Milnor fiber cohomology.
New techniques for analyzing function deformations.
Abstract
We investigate deformations of functions on affine space, deformations in which the changes specialize to a distinguished point in the zero-locus of the original function. Such deformations enable us to obtain nice results on the cohomology of the Milnor fiber of the original function.
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