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A sequence of multiple points on an algebraic variety which gives rise to a valuation ring

Part of: Algebraic geometry: Foundations

Published online by Cambridge University Press:  26 February 2010

J. Herszberg
J. Herszberg
Affiliation:
Birkbeck College, London, WC1E 7HX.
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Extract

Certain properties of ascending sequences of quotient rings of points of algebraic varieties were investigated by O. Zariski in [4] and some related problems were discussed in [3].

MSC classification

Secondary: 14A10: Varieties and morphisms
Type
Research Article
Information
Mathematika , Volume 18 , Issue 2 , December 1971 , pp. 209 - 218
Copyright
Copyright © University College London 1971

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References

1Du Val, P., “On absolute and non absolute singularities of algebraic surfaces ”, Rev. Fac. Sc. Univ. Istanbul, 9, (1944), 159–215.Google Scholar
2Herszberg, J., “A result relating to the local uniformisation theorem ”, Mathematika, 9 (1962) 104–110.CrossRefGoogle Scholar
3Herszberg, J., “Valuation rings formed by ascending sequences of quotient rings ”, Mathematika, 13 (1966), 7–22.CrossRefGoogle Scholar
4Zariski, O., “Applicazioni geometriche della teoria dell valutazioni ”, Rend, di Mat. Roma, 13 (1954), 51–88.Google Scholar