\(\mathbb{G}_a^3\)-structures on del Pezzo fibrations

DOI10.1307/mmj/20195835zbMath1493.14021arXiv1912.02524OpenAlexW3156885415MaRDI QIDQ2167790

Masaru Nagaoka

Publication date: 31 August 2022

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.02524

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) (3)-folds (14J30) Fibrations, degenerations in algebraic geometry (14D06) Families, moduli, classification: algebraic theory (14J10) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Minimal model program (Mori theory, extremal rays) (14E30) Compactifications; symmetric and spherical varieties (14M27)

Cites Work

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• Threefolds whose hyperplane sections are elliptic surfaces
• Secant varieties of toric varieties
• Fano threefolds as equivariant compactifications of the vector group
• On compactifications of affine homology 3-cells into quadric fibrations
• Equivariant compactifications of vector groups with high index
• Additive actions on toric varieties
• Geometric Invariant Theory
• Chapters on algebraic surfaces
• Some structure theorems for algebraic groups
• Threefolds whose canonical bundles are not numerically effective

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