Classification of Du Val del Pezzo surfaces of Picard rank one in characteristic two and three

DOI10.1016/j.jalgebra.2023.08.027zbMath1524.14082arXiv2012.09405OpenAlexW4386566170MaRDI QIDQ6054783

Tatsuro Kawakami, Masaru Nagaoka

Publication date: 25 October 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.09405

zbMATH Keywords

positive characteristicdel Pezzo surfacesFrobenius splitting

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Fano varieties (14J45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Positive characteristic ground fields in algebraic geometry (14G17)

Cites Work

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• The Mordell-Weil groups of unirational quasi-elliptic surfaces in characteristic 3
• On extremal rational elliptic surfaces
• Extremal rational elliptic surfaces in characteristic \(p\). I: Beauville surfaces
• Frobenius splittings and blow-ups
• The Mordell-Weil groups of unirational quasi-elliptic surfaces in characteristic 2
• Frobenius splitting methods in geometry and representation theory
• Extremal rational elliptic surfaces in characteristic \(p\). II: Surfaces with three or fewer singular fibres
• On extremal elliptic surfaces in characteristic 2 and 3.
• Ordinary varieties with trivial canonical bundle are not uniruled
• Pathologies and liftability of Du Val del Pezzo surfaces in positive characteristic
• F-Purity and Rational Singularity
• Singular Del Pezzo surfaces and analytic compactifications of 3-dimensional complex affine space C³
• Simply connected surfaces of general type in positive characteristic via deformation theory
• On Kawamata-Viehweg type vanishing for three dimensional Mori fiber spaces in positive characteristic
• ON DEL PEZZO FIBRATIONS IN POSITIVE CHARACTERISTIC
• Del Pezzo surfaces and Mori fiber spaces in positive characteristic
• On the Structure of Compact Complex Analytic Surfaces, II
• Rees algebras of F-regular type.

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