论文标题
在感谢您的品种中差异固定的理想
Differentially fixed ideals in toric varieties
论文作者
论文摘要
本文涉及由$ \ mathbb {c} $的Aggine Semi-Group环的差分运算符固定的单一理想。我们对这种情况进行完整的表征。也许令人惊讶的是，每个单一理想都是由无限的一组同质差异操作员确定的，实际上是由它们确定的。这为研究单一理想开辟了一个新工具。我们探索了（混合）乘数理想和其他变体的应用，并提供了检测理想成员在整体封闭的力量和无方形单样理想的符号力量中的示例。
This article concerns monomial ideals fixed by differential operators of affine semi-group rings over $\mathbb{C}$. We give a complete characterization of when this happens. Perhaps surprisingly, every monomial ideal is fixed by an infinite set of homogeneous differential operators and is in fact determined by them. This opens up a new tool for studying monomial ideals. We explore applications of this to (mixed) multiplier ideals and other variants as well as give examples of detecting ideal membership in integrally closed powers and symbolic powers of squarefree monomial ideals.
