Abstract In this paper we explicitly describe the symbolic powers of the ideal defining the curve in parametrized by where q, m are positive integers, and We show that the symbolic blowup algebra is Noetherian and Gorenstein. An explicit formula for the resurgence and the Waldschmidt constant of the prime ideal defining the curve is computed. We also give a formula for the Castelnuovo-Mumford regularity of the symbolic powers for all

中文翻译：

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符号膨胀代数和与 P3 中某些单项式曲线相关的不变量

摘要 在本文中，我们明确地描述了定义曲线的理想的符号幂，其中 q、m 是正整数，并且我们证明符号爆炸代数是 Noetherian 和 Gorenstein。计算定义曲线的主要理想的回潮和 Waldschmidt 常数的明确公式。我们还给出了所有符号权力的 Castelnuovo-Mumford 正则性的公式