I’ve split this off from the bottom of one of the previous surface DIOP papers. I’m hopeful, haven’t managed to convince advisor yet. I’ll probably be expanding upon this in the next few weeks. The point is to attempt to get a positive characteristic analogue of Levine’s theorem in the case we have a lifting of a KLT pair (X, \Delta)

W2DIOP0.1_copy , hash

W2DIOP0.8 , hash

W2DIOP0.9 , hash

W2DIOP1.0 , hash : added an application of the main Theorem (an alternate proof to SurfDIOP main theorem).