P{\l}oski Approximation Theorem
Adam Parusi\'nski, Guillaume Rond
TL;DR
This paper reviews how approximation results in commutative algebra are utilized to construct equisingular deformations of singularities, highlighting the historical development starting from A. Ploski's initial findings.
Contribution
It provides a comprehensive review of approximation techniques in commutative algebra applied to singularity deformations, emphasizing the foundational work of A. Ploski.
Findings
Approximation results are crucial for constructing equisingular deformations.
The paper traces the development of these approximation methods in singularity theory.
Historical context from Ploski's PhD thesis is discussed.
Abstract
The aim of this paper is to review how some approximation results in commutative algebra are being used to construct equisingular deformations of singularities. The first example of such an approximation result appeared for the first time in A. Ploski's PhD thesis.
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Taxonomy
TopicsAdvanced Banach Space Theory · Holomorphic and Operator Theory · Matrix Theory and Algorithms