Stable reflexive sheaves of degree zero on Calabi-Yau manifolds
Stable reflexive sheaves of degree zero on Calabi-Yau manifolds
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Calabi-Yau 流形上稳定的零度自反滑轮
DOI：
10.1016/j.geomphys.2017.06.012
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发表时间：
2017
影响因子：
1.5
通讯作者：
Tohru Nakashima
中科院分区：
文献类型：
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作者：
Satoshi Murai;Isabella Novik and Ken-ichi Yoshida;Tohru Nakashima;T. Okuma，K. Watanabe and K. Yoshida;Tohru Nakashima
本文给出了Calabi-Yau三重空间上存在μ-稳定自反层E的充分条件，使得第一Chern类c1（E）满足c1（E）<$H2 = 0.我们还证明了任意光滑射影簇上构造秩为2的μ-稳定层的变形的一个结果。
We give sufficient conditions for the existence of μ-stable reflexive sheaves E on a Calabi–Yau threefold such that the first Chern classes c 1 (E) satisfy c 1 (E)⋅ H 2= 0 for some ample line bundle H. We also prove a result concerning deformations to construct rank two μ-stable sheaves on arbitrary smooth projective varieties.