On Derived Equivalences of K3 Surfaces in Positive Characteristic
On Derived Equivalences of K3 Surfaces in Positive Characteristic
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show that every automorphism lifts to characteristic zero. Moreover, we show that the Fourier-Mukai partners of an ordinary K3 surface are in one-to-one correspondence with the Fourier-Mukai partners of the geometric generic fiber of its canonical …