论文标题
过滤的渐近塞缪尔功能
The Asymptotic Samuel Function of a Filtration
论文作者
论文摘要
我们将理想的渐近samuel函数扩展到过滤，并表明该功能的许多良好特性对于过滤都是正确的。但是，我们探索了有趣的差异。我们研究过滤的射影等效性以及渐近塞缪尔功能与过滤的多样性之间的关系。我们进一步考虑了离散有价值的过滤的情况，并表明它们具有特别好的特性。
We extend the asymptotic Samuel function of an ideal to a filtration and show that many of the good properties of this function for an ideal are true for filtrations. There are, however, interesting differences, which we explore. We study the notion of projective equivalence of filtrations and the relation between the asymptotic Samuel function and the multiplicity of a filtration. We further consider the case of discrete valued filtrations and show that they have particularly nice properties.
