光滑超曲面上霍奇理想的消失定理

IF 1 3区 数学 Q1 MATHEMATICS Mathematische Zeitschrift Pub Date : 2024-08-21 DOI:10.1007/s00209-024-03576-8
Anh Duc Vo
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引用次数: 0

摘要

我们利用科斯祖尔型解析证明了 Bott's vanishing theorem 的弱版本,即在\(\mathbb {P}^n\) 中的光滑超曲面的消失定理,并利用这一结果证明了与超曲面上有效卡蒂埃除数相关的霍奇理想的消失定理。这扩展了穆斯塔法和波帕的一个早期结果。
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Vanishing theorem for Hodge ideals on smooth hypersurfaces

We use a Koszul-type resolution to prove a weak version of Bott’s vanishing theorem for smooth hypersurfaces in \(\mathbb {P}^n\) and use this result to prove a vanishing theorem for Hodge ideals associated to an effective Cartier divisor on a hypersurface. This extends an earlier result of Mustaţă and Popa.

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来源期刊
CiteScore
1.60
自引率
0.00%
发文量
236
审稿时长
3-6 weeks
期刊介绍: "Mathematische Zeitschrift" is devoted to pure and applied mathematics. Reviews, problems etc. will not be published.
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