Pathologies on Mori fibre spaces in positive characteristic

Abstract

We show that there exist Mori fibre spaces whose total spaces are klt but bases are not. We also construct Mori fibre spaces which have relatively non-trivial torsion line bundles.

25 pages, v2:minor revisions, v3: minor revisions. To appear in Ann. Sc. Norm. Super. Pisa Cl. Sci

References in corpus (1)

• Behavior of canonical divisors under purely inseparable base changes

Cited by in corpus (5)

• On del Pezzo fibrations in positive characteristic
• Structure of geometrically non-reduced varieties
• Subadditivity of Kodaira dimension does not hold in positive characteristic
• Rational points on 3-folds with nef anti-canonical class over finite fields
• On p-power freeness in positive characteristic