State Theorem 1.3 and describe in a few words the plan of the proof.
Briefly recall the notion of twisted Gieseker stability. In this case, mention the existence of a
projective coarse moduli space with "nice" properties as stated in Remark 5.3 (a).
State Theorem 7.3 and explain the isomorphism of stalks (11) induced by the associsted Fourier-Mukai transform. Use (11) to conclude the
first part of Theorem 1.3.
Prove Corollary 7.5 and the ampleness as in page 27 of Bayer-Macrì's paper.