Properties of Lyubeznik numbers under localization and polarization
Properties of Lyubeznik numbers under localization and polarization
复制标题
局域化和极化下柳别兹尼克数的性质
DOI：
10.1016/j.jpaa.2015.03.010
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发表时间：
2015
影响因子：
0.8
通讯作者：
Kohji Yanagawa
中科院分区：
文献类型：
--
作者：
Arindam Banerjee;Luis Nunez-Betancourt;Kohji Yanagawa
我们给出了一个素数环的柳别兹尼克数的整体界。此外，我们还证明了对于单项式理想，它的根和极化的商环的Lyubeznik数是相同的。此外，我们还举例说明了局部化条件下吕别兹尼克数的惊人行为。我们也给出了柳别兹尼克数推广的相关结果。
We exhibit a global bound for the Lyubeznik numbers of a ring of prime characteristic. In addition, we show that for a monomial ideal, the Lyubeznik numbers of the quotient rings of its radical and its polarization are the same. Furthermore, we present examples that show striking behavior of the Lyubeznik numbers under localization. We also show related results for generalizations of the Lyubeznik numbers.