单项理想的剩余流
Residue currents of monomial ideals
摘要：
我们计算与单项理想$I$相关联的Bochner-Martinelli型剩余流，通过涉及某些复曲面簇的方法。在以$I$簇为原点的情况下，我们用相应的牛顿图给出了电流零化子的完整描述。特别是，我们证明了零化子是严格包括在$I$，除非$I$是由一个完整的交叉定义。我们还提供了一般单项式理想的部分结果。
英文摘要：
We compute residue currents of Bochner-Martinelli type associated with a monomial ideal $I$, by methods involving certain toric varieties. In case the variety of $I$ is the origin, we give a complete description of the annihilator of the currents in terms of the associated Newton diagram. In particular, we show that the annihilator is strictly included in $I$, unless $I$ is defined by a complete intersection. We also provide partial results for general monomial ideals.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
