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Integral closedness of $MI$ and the formula of Hoskin and Deligne for finitely supported complete ideals

Clare D'Cruz
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Abstract

In this paper we find a formula for the length of a finitely supported complete ideal in terms of the order of the strict transform of the ideal. This formula was known for complete ideals of height two in a two dimensional regular local ring and was proved independently by Hoskin and Deligne. Several consequences are deduced from this formula.

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Clare D'Cruz. 2006-03-09. Integral closedness of $MI$ and the formula of Hoskin and Deligne for finitely supported complete ideals. https://arxiv.org/abs/math/0603211

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