K_{X/T} is pseudo-effective when f: X→T has non-uniruled generic fiber in char p>0.
Hartshorne : Residues and duality, Lecture notes of a seminar on the work of A
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Pseudo-effectivity of the relative canonical divisor and uniruledness in positive characteristic
K_{X/T} is pseudo-effective when f: X→T has non-uniruled generic fiber in char p>0.