A criterion for intersection multiplicity one
- 1 December 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 100, 49-63
- https://doi.org/10.1017/s0027763000000210
Abstract
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.Keywords
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