Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-30T20:16:30.881Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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