A spectral sequence and nef vector bundles of the first Chern class two on hyperquadrics
A spectral sequence and nef vector bundles of the first Chern class two on hyperquadrics
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超二次曲面上第一陈二类的谱序列和 nef 向量丛
DOI：
10.1007/s11565-013-0188-6
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Hiroyuki Terakawa
中科院分区：
文献类型：
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作者：
Masahiro Ohno;Hiroyuki Terakawa
我们从邦达尔定理推导出一个谱序列，它可以用一个完整的强例外序列来描述相干层，例如解析。然后，我们将该序列的情况下，一个向量丛给出了一些上同调数据的射影空间，我们得到一个决议的向量丛方面的例外线丛，决议这是不同的贝林森谱序列所获得的。最后，我们列出所有已知的nef向量丛的第一陈类2的超二次维数大于3。
We deduce from Bondal’s theorem a spectral sequence, which yields a description, such as a resolution, of a coherent sheaf in terms of a full strong exceptional sequence. We then apply the sequence to the case of a vector bundle given with some cohomological data on a projective space; we obtain a resolution of the vector bundle in terms of exceptional line bundles, resolution which is different from that obtained by the Beilinson spectral sequence. Finally we list all known nef vector bundles of the first Chern class two on a hyperquadric of dimension greater than three.