Mirror Symmetry and Projective Geometry of Fourier-Mukai Partners
  This is a survey article on mirror symmetry and Fourier-Mukai partners of Calabi-Yau threefolds with Picard number one based on recent works by the authors [HoTa1,2,3,4]. For completeness, mirror symmetry and Fourier-Mukai partners of K3 surfaces are also discussed. 
Shinobu Hosono and Hiromichi Takagi
math.AG