Analytic extensions of algebraic isomorphisms

DOI10.1090/proc/12684zbMath1331.14058arXiv1309.3791OpenAlexW1897635703MaRDI QIDQ2944834

Shulim Kaliman

Publication date: 8 September 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3791

zbMATH Keywords

linearization problemcancellation problemadditive group actionaffine varietiesautomorphisms of varietiesmultiplicative group action

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Group actions on affine varieties (14R20) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17)

Related Items (4)

On subelliptic manifolds ⋮ Algebraic embeddings of \(\mathbb{C}\) into \(\mathrm{SL}_{n}(\mathbb{C})\) ⋮ Cancellation for Surfaces Revisited ⋮ Canonical factorization of the quotient morphism for an affine \(\mathbb{G}_{a}\)-variety

Cites Work

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• Non straightenable complex lines in \(\mathbb C^2\)
• Flexible varieties and automorphism groups
• On the embedding dimension of an affine variety
• Holomorphic flexibility properties of complex manifolds
• Extensions of Isomorphisms between Affine Algebraic Subvarieties of k n Automorphisms of k n
• Subvarieties of Cn with non-extendable autormorphisms

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