Under LMMP and log resolution assumptions in dimension n, the moduli part is nef up to birational map for dlt pairs with f-nef K_X + B over perfect fields of char p>2; unconditional in dimension 3 for p>5.
A numerical criterion for uniruledness
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On the canonical bundle formula in positive characteristic
Under LMMP and log resolution assumptions in dimension n, the moduli part is nef up to birational map for dlt pairs with f-nef K_X + B over perfect fields of char p>2; unconditional in dimension 3 for p>5.