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Jan. 2003 On certain hypersurfaces with non-isolated singularities in $\mathrm {P}^4(\mathbf {C})$
Shoji Tsuboi
Proc. Japan Acad. Ser. A Math. Sci. 79(1): 1-4 (Jan. 2003). DOI: 10.3792/pjaa.79.1

Abstract

We give an example of hypersurfaces with non-isolated singularities in $\mathrm{P}^4(\mathbf{C})$, whose normalizations have isolated rational quadruple points only as singularities. From Schlessinger's criterion, it follows that these isolated rational singular points are rigid under small deformations.

Citation

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Shoji Tsuboi. "On certain hypersurfaces with non-isolated singularities in $\mathrm {P}^4(\mathbf {C})$." Proc. Japan Acad. Ser. A Math. Sci. 79 (1) 1 - 4, Jan. 2003. https://doi.org/10.3792/pjaa.79.1

Information

Published: Jan. 2003
First available in Project Euclid: 18 May 2005

zbMATH: 1057.14046
MathSciNet: MR1953974
Digital Object Identifier: 10.3792/pjaa.79.1

Subjects:
Primary: 14G17
Secondary: 14G30 , 32C20 , 32G05

Keywords: Hypersurface , non-isolated singularity , normalization , ordinary singularity , rigid rational singularity , threefold

Rights: Copyright © 2003 The Japan Academy

Vol.79 • No. 1 • Jan. 2003
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