65 citations · 75 across the 4 of their papers we have counts for
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Fourier-Mukai partners of a K3 surface of Picard number one
Shinobu Hosono, Bong H. Lian, Keiji Oguiso +1
We shall give a complete geometrical description of the FM partners of a K3 surface of Picard number 1 and its applications.
Autoequivalences of Derived Category of A K3 Surface and Monodromy Transformations
Shinobu Hosono, Bong H. Lian, Keiji Oguiso +1
We consider autoequivalences of the bounded derived category of coherent sheaves on a K3 surface. We prove that the image of the autoequivalences has index at most two in the group…
Kummer structures on a K3 surface - An old question of T. Shioda
Shinobu Hosono, Bong H. Lian, Keiji Oguiso +1
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.
Fourier-Mukai number of a K3 surface
Shinobu Hosono, Bong H. Lian, Keiji Oguiso +1
We shall give a Counting Formula for the number of Fourier-Mukai partners of a K3 surface and consider three applications.