Kummer structures on a K3 surface - An old question of T. Shioda
  We apply our earlier results on Fourier-Mukai partners to answer definitively a question about Kummer surface structures, posed by T. Shioda 25 years ago. 
Shinobu Hosono, Bong H. Lian, Keiji Oguiso, Shing-Tung Yau