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A criterion for intersection multiplicity one

Published online by Cambridge University Press:  22 January 2016

Rüdiger Achilles ,
Craig Huneke  and
Wolfgang Vogel
Rüdiger Achilles
Affiliation:
Martin-Luther-University, Department of Mathematics 4010 Halle German Democratic Republic
Craig Huneke
Affiliation:
Purdue University, Department of Mathematics West Lafayette, Indiana 47907, USA
Wolfgang Vogel
Affiliation:
Martin-Luther-University, Department of Mathematics 4010 Halle German Democratic Republic
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Let X and Y be any pure dimensional subschemes of Pnk over an algebraically closed field K and let I(X) and I(Y) be the largest homogeneous ideals in K[x0,…, xn] defining X and Y, respectively. By a pure dimensional subscheme X of Pnk we shall always mean a closed pure dimensional subscheme without imbedded components, i.e., all primes belonging to I(X) have the same dimension.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 100 , December 1985 , pp. 49 - 63
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1985

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