On ruled surfaces with big anti-canonical divisor and numerically trivial divisors on weak log Fano surfaces

DOI10.1007/s00229-020-01242-xzbMath1479.14042arXiv1803.03819OpenAlexW3090244066MaRDI QIDQ2049516

Rikito Ohta, Shinnosuke Okawa

Publication date: 27 August 2021

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.03819

zbMATH Keywords

surfaceanti-canonicalbig

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Minimal model program (Mori theory, extremal rays) (14E30) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (2)

Measure preserving holomorphic vector fields, invariant anti-canonical divisors and Gibbs stability ⋮ On minimal model theory for algebraic log surfaces

Cites Work

• Big rational surfaces
• Zariski-decomposition and abundance
• The X-method for klt surfaces in positive characteristic
• Relative Bogomolov’s inequality and the cone of positive divisors on the moduli space of stable curves
• Stable vector bundles and the frobenius morphism
• Minimal Models and Abundance for Positive Characteristic Log Surfaces
• Normal del Pezzo surfaces containing a nonrational singularity
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