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arXiv 1302.5883math.AG
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二重五次对称拟阵,Reye同余及其导出等价

Double quintic symmetroids, Reye congruences, and their derived equivalence

Shinobu Hosono, Hiromichi Takagi

摘要:

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。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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