Double quintic symmetroids, Reye congruences, and their derived equivalence
Algebraic Geometry
2013-11-11 v2
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.
Keywords
Cite
@article{arxiv.1302.5883,
title = {Double quintic symmetroids, Reye congruences, and their derived equivalence},
author = {Shinobu Hosono and Hiromichi Takagi},
journal= {arXiv preprint arXiv:1302.5883},
year = {2013}
}
Comments
46 pages, 2 figures