Abundance theorem for semi log canonical surfaces in positive characteristic

Abstract

We prove the abundance theorem for semi log canonical surfaces in positive characteristic.

33 pages. v2: I added Section 3, changed the definition of slc surfaces, and adopted the one of Kollar. v3: minor changes

Cited by in corpus (8)

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• Abundance theorem for surfaces over imperfect fields
• On base point free theorem for log canonical threefolds over the algebraic closure of a finite field
• Rational points on log Fano threefolds over a finite field
• The trace map of Frobenius and extending sections for threefolds
• The LMMP for log canonical 3-folds in char $p$
• Abundance for slc surfaces over arbitrary fields
• Counter-examples to the minimal model theory in characteristic two