K_{X/T} is pseudo-effective when f: X→T has non-uniruled generic fiber in char p>0.
Viehweg : Weak positivity and the additivity of the K odaira dimension for certain fibre spaces , Algebraic varieties and analytic varieties ( T okyo, 1981), Adv
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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.