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Journal of the Institute of Mathematics of Jussieu (1)

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ON DEL PEZZO FIBRATIONS IN POSITIVE CHARACTERISTIC
Part of
Fabio Bernasconi, Hiromu Tanaka
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 21 / Issue 1 / January 2022

Published online by Cambridge University Press:

30 March 2020, pp. 197-239

Print publication:

January 2022
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We establish two results on three-dimensional del Pezzo fibrations in positive characteristic. First, we give an explicit bound for torsion index of relatively torsion line bundles. Second, we show the existence of purely inseparable sections with explicit bounded degree. To prove these results, we study log del Pezzo surfaces defined over imperfect fields.