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On the non-specialisation of intersections on a singular variety

Published online by Cambridge University Press:  26 February 2010

A. Zobel
A. Zobel
Affiliation:
The University, Leeds, 2.
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Extract

The purpose of this paper is to call attention to a very simple example of intersections on a singular variety, and to its effect on intersection theories relating to ambient varieties with singularities; in particular it will be shown how the example—to which we refer throughout as Example A—invalidates an aspect of the theory put forward by P. Samuel ([1], Ch. VI).

Type
Research Article
Information
Mathematika , Volume 8 , Issue 1 , June 1961 , pp. 39 - 44
Copyright
Copyright © University College London 1961

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References

1.Samuel, P., “La notion de multiplicité en Algébre et en Géométrie algébrique”, J. de Math. (9), 30 (1951), 159.Google Scholar
2.Weil, A., Foundations of Algebraic Geometry (New York, 1946).CrossRefGoogle Scholar
3.Zobel, A., “Intersection theory on an open variety”, Annali di Mat. (4), 46 (1958), 1.Google Scholar