The local Hilbert function of a pair of plane curves-Reference-Cited by-同舟云学术

The local Hilbert function of a pair of plane curves

Published:1978 Issue:3 Volume:72 Page:439-442
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kothari S. C.

Abstract

Let R be the local ring of a pair of plane curves at a point. In this paper it is proved that the Hilbert function of such a ring changes by at most one at each stage, and it is essentially nonincreasing.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1978-072-03/S0002-9939-1978-0506283-X/S0002-9939-1978-0506283-X.pdf

Reference3 articles.

1. L. Berzolari, Allgemeine Theorie der Hoheren Ebenen Algebraischen Kurven, Encyklopadie der Mathematischen Wissenschaften IIIC4, 1932.

2. Interscience Tracts in Pure and Applied Mathematics, No. 13;Nagata, Masayoshi,1962

3. The University Series in Higher Mathematics;Zariski, Oscar,1960

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