Kodai Mathematical Journal

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 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.

Article information

Source
Kodai Math. J., Volume 38, Number 3 (2015), 642-657.

Dates
First available in Project Euclid: 30 October 2015

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1446210599

Digital Object Identifier
doi:10.2996/kmj/1446210599

Mathematical Reviews number (MathSciNet)
MR3417526

Zentralblatt MATH identifier
1337.14004

Citation

Lê, Công-Trình. Equinormalizability and topologically triviality of deformations of isolated curve singularities over smooth base spaces. Kodai Math. J. 38 (2015), no. 3, 642--657. doi:10.2996/kmj/1446210599. https://projecteuclid.org/euclid.kmj/1446210599


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Tokyo Institute of Technology, Department of Mathematics

Kodai Mathematical Journal

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