Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-26T12:32:11.827Z Has data issue: false hasContentIssue false
  • English
  • Français

COMPLETE INTERSECTIONS IN RELATION TO A PAPER OF B. J. BIRCH

Published online by Cambridge University Press:  15 March 2002

A. G. ALEKSANDROV  and
B. Z. MOROZ
A. G. ALEKSANDROV
Affiliation:
Institute of Control Sciences, Russian Academy of Sciences, Profsoyuznaya ul. 65, GSP-7, Moscow, 117806, Russian [email protected] Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111 Bonn, Germany [email protected]
B. Z. MOROZ
Affiliation:
Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111 Bonn, Germany [email protected]
Get access

Abstract

A new property of a complete intersection in a graded Noetherian ring is proved; this result, in conjunction with the Jacobian criterion, is then applied to the description of the loci of singularities in a family of affine varieties introduced in a well-known paper on forms of many variables.

Type
PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 2 , March 2002 , pp. 149 - 154
Copyright
© 2002 The London Mathematical Society

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.)