Semiample perturbations for log canonical varieties over an F-finite field containing an infinite perfect field

DOI10.1142/S0129167X17500306zbMath1387.14058arXiv1503.01264MaRDI QIDQ5269885

Hiromu Tanaka

Publication date: 28 June 2017

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.01264

zbMATH Keywords

positive characteristicBertini theoremlog canonicalsemi-ample

Mathematics Subject Classification ID

Minimal model program (Mori theory, extremal rays) (14E30) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (12)

On the canonical bundle formula and log abundance in positive characteristic ⋮ Abundance theorem for surfaces over imperfect fields ⋮ SEMIAMPLENESS FOR CALABI–YAU SURFACES IN POSITIVE AND MIXED CHARACTERISTIC ⋮ Minimal model program for semi-stable threefolds in mixed characteristic ⋮ Bertini theorems admitting base changes ⋮ FINITENESS OF LOG MINIMAL MODELS AND NEF CURVES ON -FOLDS IN CHARACTERISTIC ⋮ On the boundedness of globally \(F\)-split varieties ⋮ Rational points on log Fano threefolds over a finite field ⋮ On the abundance problem for 3-folds in characteristic \(p>5\) ⋮ THE GAMMA CONSTRUCTION AND ASYMPTOTIC INVARIANTS OF LINE BUNDLES OVER ARBITRARY FIELDS ⋮ THE LMMP FOR LOG CANONICAL 3-FOLDS IN CHARACTERISTIC ⋮ On the characterization of abelian varieties for log pairs in zero and positive characteristic

Cites Work

• The trace map of Frobenius and extending sections for threefolds
• \(F\)-adjunction
• Globally \(F\)-regular and log Fano varieties
• Discreteness and rationality of \(F\)-jumping numbers on singular varieties
• Bertini theorems over finite fields
• On base point freeness in positive characteristic
• Bertini theorems for F -singularities
• On the Numerical Dimension of Pseudo-Effective Divisors in Positive Characteristic
• F-regular and F-pure rings vs. log terminal and log canonical singularities
• $F$-singularities in families
• Introduction
• F-singularities via alterations
• On the three dimensional minimal model program in positive characteristic
• The non-nef locus in positive characteristic

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