Abundance theorem for surfaces over imperfect fields

Abstract

In this paper, we show the abundance theorem for log canonical surfaces over fields of positive characteristic.

34 pages, v3:The title is changed. Some of results in the former versions are removed and contained in arXiv:1608.07676, v4: minor revisions, v5: minor revisions

References in corpus (2)

• Iitaka's $C_{n,m}$ conjecture for 3-folds over finite fields
• Semiample perturbations for log canonical varieties over an F-finite field containing an infinite perfect field

Cited by in corpus (5)

• The Minimal Model Program for threefolds in characteristic five
• Minimal model program for log canonical threefolds in positive characteristic
• The gamma construction and asymptotic invariants of line bundles over arbitrary fields
• Abundance for non-uniruled 3-folds with non-trivial Albanese maps in positive characteristics
• Iitaka's $C_{n,m}$ conjecture for 3-folds over finite fields