Mirror symmetry and projective geometry of Reye congruences I

Shinobu Hosono, Hiromichi Takagi

Studying the mirror symmetry of a Calabi-Yau threefold $X$ of the Reye congruence in $\mP^4$, we conjecture that $X$ has a non-trivial Fourier-Mukai partner $Y$. We construct $Y$ a…