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On certain types of isolated s-ple points on algebraic primals in Sd

Published online by Cambridge University Press:  24 October 2008

J. Herszberg
J. Herszberg
Affiliation:
Birkbeck CollegeLondon, W.C. 1
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Extract

Singular points on irreducible primals were investigated briefly by C. Segre(8), where the author classified multiple points by the nature of the nodal tangent cone. For surfaces the problem of classification was investigated by, amongst others, Du Val(1) and a complete classification of isolated double points of surfaces lying on non-singular threefolds was given by Kirby(5). In (3) we classified certain types of double points on algebraic primals in Sn. An isolated double point which after a finite number of resolutions gave rise to at most a finite number of isolated double points was called a double point of rank zero. We found that the only isolated double points of rank zero are those which are analogous to the binodes, unodes and exceptional unodes (2) of surfaces.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 3 , July 1962 , pp. 465 - 475
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

REFERENCES

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