Fibre dimension of the Nash transformation
Achim Hennings
TL;DR
This paper proves that for an irreducible isolated singularity, the special fibre of its Nash transform attains the maximum possible dimension, shedding light on the geometric structure of singularities.
Contribution
It establishes a maximal dimension property of the special fibre in the Nash transform for isolated singularities, a new result in singularity theory.
Findings
Special fibre of Nash transform has maximal dimension for irreducible isolated singularities.
Provides new insights into the structure of Nash transformations.
Advances understanding of singularity geometry.
Abstract
It is proved that the special fibre of the Nash transform of an irreducible isolated singularity has maximal dimension.
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Taxonomy
TopicsBusiness Strategy and Innovation