We apply our earlier results on Fourier-Mukai partners to answer definitively a question about Kummer surface structures posed by T. Shioda twenty-five years ago.
Shinobu Hosono. Bong H. Lian. Keiji Oguiso. Shing-Tung Yau. "Kummer structures on a K3 surface: An old question of T. Shioda." Duke Math. J. 120 (3) 635 - 647, 1 December 2003. https://doi.org/10.1215/S0012-7094-03-12036-0