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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 Federationalexandr@ipu.rssi.ru Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111 Bonn, Germany alexandr@mpim-bonn.mpg.de
B. Z. MOROZ
Affiliation:
Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111 Bonn, Germany moroz@mpim-bonn.mpg.de
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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

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