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On the depth of blowup algebras of ideals with analytic deviation one
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Let I be an ideal in a local Cohen-Macaulay ring (A, 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 formu- las we obtain coincide with the already known formulas for almost complete intersection ideals.
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ZARZUELA, Santiago. On the depth of blowup algebras of ideals with analytic deviation one. Proceedings of the American Mathematical Society. 1995. Vol. 123, num. 12, pags. 3639-3647. ISSN 1088-6826. [consulted: 9 of June of 2026]. Available at: https://hdl.handle.net/2445/7705