科研之友
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摘要
Let Y be the double cover of the quintic symmetric determinantal hypersurface in P-14. We consider Calabi-Yau threefolds Y defined as smooth linear sections of Y. In our previous works [HoTa1, 2, 3], we have shown that these Calabi-Yau threefolds Y are naturally paired with Reye congruence Calabi-Yau threefolds X by the projective duality of Y, and observed that these Calabi-Yau threefolds have several interesting properties from the viewpoint of mirror symmetry and also projective geometry. In this paper, we prove the derived equivalence between the linear sections Y of Y and the corresponding Reye congruences X.
- 出版日期2016-11
