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On the computation of multiplicity by the reduction of dimension
E. Boďa and D. Jašková
Received: March 4, 2008; Revised: January 16, 2009; Accepted: January 17, 2009
Abstract. In this short note we describe one method for the computation of the Samuel multiplicity of the polynomial ideals and prove a formula for the multiplicity of the ideal αixiai βi+1 xi+1bi+1; i =1,. . ., n) . R in R (with the convention xn+1 = x1, βn+1 = β1, bn+1 = b1), where (R, m) = k[x1, x1, . . ,xn](x1, x1, . . ,xn) is a local polynomial ring over an algebraic closed field k.
Keywords: parameter ideal; multiplicity; polynomiale parametrization.
AMS Subject classification: Primary: 13H15 Secondary: 13B02
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