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.

中文翻译：

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理想的预期复活和象征力量

我们给出明确的标准，暗示在常规环中自我激进理想的复现严格小于其余维，这反过来又意味着Harbourne猜想的稳定版本适用于此类理想。一个标准用于给出此类理想的几个显式族，包括空间单项曲线的定义理想。其他结果概括了有关第三个符号乘方何时处于理想平方中的已知定理，以及对于某些类的空间单项曲线的强烈回潮界。