K_{X/T} is pseudo-effective when f: X→T has non-uniruled generic fiber in char p>0.
Seshadri constants for curve classes
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abstract
We develop a local positivity theory for movable curves on projective varieties similar to the classical Seshadri constants of nef divisors. We give analogues of the Seshadri ampleness criterion, of a characterization of the augmented base locus of a big and nef divisor, and of the interpretation of Seshadri constants as an asymptotic measure of jet separation. We also study the case of arbitrary codimension.
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math.AG 1years
2020 1verdicts
UNVERDICTED 1representative citing papers
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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.