Higher Brill-Noether loci and Bogomolov-Gieseker type inequality
Higher Brill-Noether loci and Bogomolov-Gieseker type inequality
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更高的 Brill-Noether 位点和 Bogomolov-Gieseker 型不平等
DOI：
10.1007/s00013-017-1067-7
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发表时间：
2017
影响因子：
0.6
通讯作者：
Tohru Nakashima
中科院分区：
文献类型：
--
作者：
Satoshi Murai;Isabella Novik and Ken-ichi Yoshida;Tohru Nakashima
讨论了光滑射影簇上稳定层模的Brill-Noether轨迹，得到了这些轨迹非空的必要条件。作为结果的应用，我们证明了关于Calabi-Yau三重上稳定层的第三Chern特征标的Bogomolov-Gieseker型不等式。
We discuss the Brill–Noether loci of the moduli of-stable sheaves on a smooth projective variety, and obtain some necessary conditions for these loci to be non-empty. As an application of our result, we prove Bogomolov–Gieseker type inequalities concerning the third Chern character of the-stable sheaves on Calabi–Yau threefolds.