Computing the minimal number of equations defining an affine curve ideal-theoretically |
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Authors: | Hans Schoutens |
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Affiliation: | Department of Mathematics, Ohio State University, Columbus, OH 43210, USA |
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Abstract: | There is an algorithm which computes the minimal number of generators of the ideal of a reduced curve C in affine n-space over an algebraically closed field K, provided C is not a local complete intersection.The existence of such an algorithm follows from the fact that given , there exists , such that if is a height n−1 radical ideal in K[X1,…,Xn], generated by polynomials of degree at most d, then admits a set of generators of minimal cardinality, with each generator having degree at most d′, except possibly when is an (unmixed) local complete intersection. |
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Keywords: | 13E15 13P99 |
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