Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-24T02:58:46.642Z Has data issue: false hasContentIssue false
  • English
  • Français

A further inequality in the theory of arithmetic on algebraic varieties

Published online by Cambridge University Press:  24 October 2008

D. G. Northcott
D. G. Northcott
Affiliation:
St John's CollegeCambridge
Get access Rights & Permissions [Opens in a new window]

Extract

This paper is the sequel to one entitled ‘An Inequality in the Theory of Arithmetic on Algebraic Varieties’ (1). For the definition of the complexity of an algebraic point P—here denoted by C[P]—we refer the reader to that paper, where he will also find a short account of as much of the theory of ‘distributions’ as will be used here. For full details of the latter, the reader should consult A. Weil's article (2). Both this paper and the preceding one are the result of an attempt to generalize and simplify a few of the many fruitful ideas which are embodied in Weil's thesis.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 45 , Issue 4 , October 1949 , pp. 510 - 518
Copyright
Copyright © Cambridge Philosophical Society 1949

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

REFERENCES

(1)Northcott, D. G.An inequality in the theory of arithmetic on algebraic varieties. Proc. Cambridge Phil. Soc. 45 (1949), 502–509.Google Scholar
(2)Weil, A.L'arithmétique sur les courbes algébriques. Acta Math. 52 (1928), 281–315.Google Scholar