A formula for the core of an ideal

Abstract

The core of an ideal is the intersection of all its reductions. For large classes of ideals I we explicitly describe the core as a colon ideal of a power of a single reduction and a power of I.

to appear in Math. Ann

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• A formula for the *-core of an ideal
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• Computing the core of ideals in arbitrary characteristic
• Cohen-Macaulay residual intersections and their Castelnuovo-Mumford Regularity