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Bundles on with vanishing lower cohomologies
Canadian Journal of Mathematics ( IF 0.7 ) Pub Date : 2020-04-24 , DOI: 10.4153/s0008414x20000292
Mengyuan Zhang

We study bundles on projective spaces that have vanishing lower cohomologies using their short minimal free resolutions. We partition the moduli $\mathcal{M}$ according to the Hilbert function H and classify all possible Hilbert functions H of such bundles. For each H, we describe a stratification of $\mathcal{M}_H$ by quotients of rational varieties. We show that the closed strata form a graded lattice given by the Betti numbers.



中文翻译:

与消失的低上同调捆绑在一起

我们使用短的最小自由分辨率研究了具有消失的低上同调的射影空间上的丛。我们根据 Hilbert 函数H对模 $\mathcal{M}$ 进行划分,并对此类束的所有可能的 Hilbert 函数H进行分类。对于每个H,我们通过有理变体的商来描述 $\mathcal{M}_H$ 的分层 。我们表明封闭地层形成了由 Betti 数给出的分级格子。

更新日期:2020-04-24
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