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arXiv · 1504.01296

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

Công-Trình Lê
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Abstract

We give a $\delta$-constant criterion for equinormalizability of deformations of isolated (not necessarily reduced) curve singularities over smooth base spaces of dimension $\geq 1$. 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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Công-Trình Lê. 2015-04-06. Equinormalizability and topologically triviality of deformations of isolated curve singularities over smooth base spaces. https://arxiv.org/abs/1504.01296

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