Hostname: page-component-cb9f654ff-fg9bn Total loading time: 0 Render date: 2025-08-24T14:19:55.477Z Has data issue: false hasContentIssue false
  • English
  • Français

Prime ideals and postulation formulae

Published online by Cambridge University Press:  24 October 2008

L. S. Goddard
L. S. Goddard
Affiliation:
The United CollegeThe UniversitySt Andrews
Get access Rights & Permissions [Opens in a new window]

Extract

1. In this paper we find explicitly the base for the prime ideal associated with any irreducible Vd−1 on a Segre variety, or a Veronesean variety, Vd. This work extends that of an earlier paper (1) in which the base was found when the Vd−1 is a complete intersection of Vd with one primal. As particular examples we can write down the base for any irreducible curve on a quadric surface, a Veronese surface or a Del Pezzo surface. We also show how the base for any prime ideal changes under a Veronesean transformation.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 44 , Issue 1 , January 1948 , pp. 43 - 49
Copyright
Copyright © Cambridge Philosophical Society 1948

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.)

Article purchase

Temporarily unavailable

References

REFERENCES

(1)Goddard, . Proc. Cambridge Phil. Soc. 39 (1943), 35.CrossRefGoogle Scholar
(2)Severi, . R.C. Circ. mat. Palermo, 28 (1909), 33.CrossRefGoogle Scholar
(3)Room, . The Geometry of Determinantal Loci (Cambridge, 1938), p. 471.Google Scholar