论文标题
计算单一理想的广义弗罗贝尼乌斯力量
Computing generalized Frobenius powers of monomial ideals
论文作者
论文摘要
在Hernández，Teixeira和Witt的作品中引入了普遍的Frobenius力量，作为测试理想的特征依赖性类似物。但是，即使在单一情况下，对于特定理想的Frobenius权力和关键指数知之甚少。我们描述了一种算法来计算单一理想的关键指数，并使用该算法来证明其Frobenius的力量和关键指数。我们的算法没有使用测试理想，而是使用线性优化的技术。
Generalized Frobenius powers of an ideal were introduced in work of Hernández, Teixeira, and Witt as characteristic-dependent analogs of test ideals. However, little is known about the Frobenius powers and critical exponents of specific ideals, even in the monomial case. We describe an algorithm to compute the critical exponents of monomial ideals and use this algorithm to prove some results about their Frobenius powers and critical exponents. Rather than using test ideals, our algorithm uses techniques from linear optimization.
