Notes on cylinders in smooth projective surfaces

DOI10.1007/s10711-022-00741-3zbMath1504.14025arXiv2204.08864OpenAlexW4307911724MaRDI QIDQ2093018

Masatomo Sawahara

Publication date: 4 November 2022

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.08864

zbMATH Keywords

cylinderperfect fieldelementary linkgeometrically rational surface

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Rational and birational maps (14E05) Minimal model program (Mori theory, extremal rays) (14E30) Affine fibrations (14R25)

Cites Work

• Flexibility of affine cones over del Pezzo surfaces of degree 4 and 5
• Affine cones over smooth cubic surfaces
• On flat fibrations by the affine line
• Cylinders in del Pezzo fibrations
• Cylinders in Fano varieties
• Group actions on affine cones
• Rational Points on Varieties
• Cylinders in singular del Pezzo surfaces
• Arithmetic on Singular Del Pezzo Surfaces
• MINIMAL MODELS OF RATIONAL SURFACES OVER ARBITRARY FIELDS
• Factorization of birational maps of rational surfaces from the viewpoint of Mori theory
• Unipotent group actions on del Pezzo cones
• RATIONAL SURFACES WITH A PENCIL OF RATIONAL CURVES
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