Mathematics, Department of
Date of this Version
7-27-2020
Citation
Published (2023) Michigan Mathematical Journal, 73 (4), pp. 735-749. DOI: 10.1307/mmj/20206004
Abstract
Building on previous work by the same authors, we show that certain ideals defining Gorenstein rings have expected resurgence, and thus satisfy the stable Harbourne Conjecture. In prime characteristic, we can take any radical ideal defining a Gorenstein ring in a regular ring, provided its symbolic powers are given by saturations with the maximal ideal. While this property is not suitable for reduction to characteristic p, we show that a similar result holds in equicharacteristic 0 under the additional hypothesis that the symbolic Rees algebra of I is noetherian.
Comments
Used by permission.