Absolute Bounds on the Number of Generators of Cohen-macaulay Ideals of Height at Most 2
نویسنده
چکیده
For a Noetherian local domain A, there exists an upper bound Nτ (A) on the minimal number of generators of any height two ideal a for which A/a is Cohen-Macaulay of type τ . More precisely, we may take Nτ (A) := (τ + 1)eh(A), where eh(A) is the homological multiplicity of A.
منابع مشابه
Absolute Bounds on the Number of Generators of Cohen-macaulay Ideals of Height Two
For a Noetherian local domain A, there exists an upper bound Nτ (A) on the minimal number of generators of any height two ideal a for whichA/a is Cohen-Macaulay of type τ . If A contains an infinite field, then we may take Nτ (A) := (τ + 1)ehom(A), where ehom(A) is the homological multiplicity of A.
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تاریخ انتشار 2003