Absolute bounds on the number of generators of Cohen-Macaulay ideals of height at most 2

Details Absolute bounds on the number of generators of Cohen-Macaulay ideals of height at most 2 Absolute bounds on the number of generators of Cohen-Macaulay ideals of height at most 2

2003-04-03

arxiv.org/abs/math/0304050v1

Bulletin Belgian Mathematical Society 13 (2006), 719-732

Mathematics

Commutative Algebra

Scientific paper

For a Noetherian local domain $A$, there exists an upper bound $N_\tau(A)$ on
the minimal number of generators of any height two ideal $I$ for which $A/I$ is
Cohen-Macaulay of type $\tau$. More precisely, we may take
$N_\tau(A):=(\tau+1)e_{\text{h}}(A)$, where $e_{\text{h}}(A)$ is the
homological multiplicity of $A$.

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