Derived categories of BHK mirrors

Derived categories of BHK mirrors
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DOI:
10.1016/j.aim.2019.06.013
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发表时间:
2019-08-20
影响因子:
1.7
通讯作者:
Kelly, Tyler L.
Kelly, Tyler L.
中科院分区:
数学1区
文献类型:
--
作者:
Favero, David;Kelly, Tyler L.

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我们证明了一个衍生的类似的结果鲍里索夫,克拉克,凯利,和舒梅克的双理性的伯格伦-哈布施-克拉维茨镜。在Seidel和谢里丹工作的基础上,我们得到了射影空间中Berglund-Htibsch-Krawitz镜像束到超曲面的同调镜像对称性. (C)2019爱思唯尔公司All rights reserved.
We prove a derived analogue to the results of Borisov, Clarke, Kelly, and Shoemaker on the birationality of Berglund-Hubsch-Krawitz mirrors. Heavily bootstrapping off work of Seidel and Sheridan, we obtain Homological Mirror Symmetry for Berglund-Htibsch-Krawitz mirror pencils to hypersurfaces in projective space. (C) 2019 Elsevier Inc. All rights reserved.