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On system of parameters, local intersection multiplicity and Bezout’s theorem

On system of parameters, local intersection multiplicity and Bezout’s theorem

This paper provides effective methods for computing the local intersection multiplicity as the length of a well-defined ideal (see Theorem and Proposition 1). There are other ways of obtaining such an ideal (see [<bold>2</bold>], [<bold>9</bold>], [<bold>12</bold>], [<bold>18</bold>]) but ours is simpler because of our use of reducing systems of parameters. …