Double quintic symmetroids, Reye congruences, and their derived equivalence
arXiv:1302.5883
Abstract
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.
46 pages, 2 figures
References in corpus (6)
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Cited by in corpus (5)
- Homological Projective Duality via Variation of Geometric Invariant Theory Quotients
- Geometry of symmetric determinantal loci
- On Clifford double mirrors of toric complete intersections
- Towards Homological Projective duality for S^2 P^3 and S^2 P^4
- Mirror Symmetry and Projective Geometry of Fourier-Mukai Partners