K_{X/T} is pseudo-effective when f: X→T has non-uniruled generic fiber in char p>0.
Rational points on log Fano threefolds over a finite field
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
We prove the $W\mathcal{O}$-rationality of klt threefolds and the rational chain connectedness of klt Fano threefolds over a perfect field of characteristic $p>5$. As a consequence, any klt Fano threefold over a finite field has a rational point.
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2020 1verdicts
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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.