Equivariant extensions of $\mathbb{G}_a$-torsors over punctured surfaces

DOI10.2422/2036-2145.201710_002zbMath1477.14094arXiv1707.08768OpenAlexW2911557610MaRDI QIDQ5003252

Isac Hedén, Adrien Dubouloz, Takashi Kishimoto

Publication date: 21 July 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.08768

zbMATH Keywords

affine threefoldsadditive group action\(\mathbb{A}^1\)-fibration on punctured surface\(G_a\)-torsoralgebraic quotient morphism

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Classification of affine varieties (14R05) Fibrations, degenerations in algebraic geometry (14D06) Group actions on affine varieties (14R20) Affine fibrations (14R25)

Related Items (1)

Rees algebras of additive group actions

Cites Work

• Affine extensions of principal additive bundles over a punctured surface
• \(\mathbb A^1\)-fibrations on affine threefolds
• Some elementary proofs of basic theorems in the cohomology of quasi- coherent sheaves
• Affine modifications and affine hypersurfaces with a very transitive automorphism group
• On complex affine surfaces with \(\mathbb{C}^ +\)-action
• Complements of hyperplane sub-bundles in projective spaces bundles over \(\mathbb P^1\)
• Danielewski-Fieseler surfaces
• Lectures on the fourteenth problem of Hilbert
• On exotic affine 3-spheres

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