Expected resurgences and symbolic powers of ideals

Expected resurgences and symbolic powers of ideals

We give explicit criteria that imply the resurgence of a self‐radical ideal in a regular ring is strictly smaller than its codimension, which in turn implies that the stable version of Harbourne's conjecture holds for such ideals. One criterion is used to give several explicit families of such...

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Veröffentlicht in:Journal of the London Mathematical Society 2020-10, Vol.102 (2), p.453-469
Hauptverfasser: Grifo, Eloísa, Huneke, Craig, Mukundan, Vivek
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Huneke, Craig
Mukundan, Vivek
description We give explicit criteria that imply the resurgence of a self‐radical ideal in a regular ring is strictly smaller than its codimension, which in turn implies that the stable version of Harbourne's conjecture holds for such ideals. One criterion is used to give several explicit families of such ideals, including the defining ideals of space monomial curves. Other results generalize known theorems concerning when the third symbolic power is in the square of an ideal, and a strong resurgence bound for some classes of space monomial curves.
doi_str_mv 10.1112/jlms.12324
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title Expected resurgences and symbolic powers of ideals
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