On the depth of blowup algebras of ideals with analytic deviation one

Zarzuela, Santiago

doi:10.1090/S0002-9939-1995-1286012-5

On the depth of blowup algebras of ideals with analytic deviation one
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by Santiago Zarzuela

Proc. Amer. Math. Soc. 123 (1995), 3639-3647

DOI: https://doi.org/10.1090/S0002-9939-1995-1286012-5

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Abstract:

Let I be an ideal in a local Cohen-Macaulay ring $(A,\mathfrak {m})$. Assume I to be generically a complete intersection of positive height. We compute the depth of the Rees algebra and the form ring of I when the analytic deviation of I equals one and its reduction number is also at most one. The formulas we obtain coincide with the already known formulas for almost complete intersection ideals.

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