Equinormalizability and topologically triviality of deformations of isolated curve singularities over smooth base spaces

2015/04/06 by Lê, Công-Trình · 1 citation
#14B07 #14B12 #14B25 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1504.01296

Abstract

We give a δ-constant criterion for equinormalizability of deformations of isolated (not necessarily reduced) curve singularities over smooth base spaces of dimension ≥ 1. For one-parametric families of isolated curve singularities, we show that their topologically triviality is equivalent to the admission of weak simultaneous resolutions.

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