Double quintic symmetroids, Reye congruences, and their derived equivalence
Double quintic symmetroids, Reye congruences, and their derived equivalence
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DOI：
10.4310/jdg/1478138549
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发表时间：
2013-02
影响因子：
2.5
通讯作者：
S. Hosono;Hiromichi Takagi
中科院分区：
文献类型：
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作者：
S. Hosono;Hiromichi Takagi
我们考虑Calabi-Yau三重Y定义为P^{14}中五次对称行列式超曲面的重覆盖的光滑线性截面。在我们以前的工作中，我们已经证明了这些Calabi-Yau三重Y与Reye同余Calabi-Yau三重X是自然配对的，并且X和Y从镜像对称和射影几何的观点来看具有一些有趣的性质.本文证明了Y与X之间的导出等价性。
We consider Calabi-Yau threefolds Y defined as smooth linear sections of the double cover of the quintic symmetric determinantal hypersurface in P^{14}. In our previous works, we have shown that these Calabi-Yau threefolds Y are naturally paired with Reye congruence Calabi-Yau threefolds X, and X and Y have several interesting properties from the view point of mirror symmetry and projective geometry. In this paper, we prove the derived equivalence between Y and X.