F-invariants of diagonal hypersurfaces

F-invariants of diagonal hypersurfaces
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对角超曲面的 F 不变量

DOI:
10.1090/s0002-9939-2014-12260-x
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发表时间:
2011
期刊:
arXiv: Commutative Algebra
影响因子:
--
通讯作者:
D. Hern'andez
D. Hern'andez
中科院分区:
--
文献类型:
--
作者:
D. Hern'andez

文献摘要

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本文给出了理想素特征域上对角超曲面的F-纯阈值公式。我们还计算了相应的测试理想在F-纯阈值,并给出公式的Fermat超曲面的更高的跳跃数。
In this note, we derive a formula for the F-pure threshold of diagonal hypersurfaces over a perfect field of prime characteristic. We also calculate the associated test ideal at the F-pure threshold, and give formulas for higher jumping numbers of Fermat hypersurfaces.