Abstract
Let Ψ : X1 → X2 be an isomorphism of closed affine algebraic subvarieties of ℂn such that n > max(2 dimX1, dimTX1). We prove that Ψ can be extended to a holomorphic automorphism of ℂn. Furthermore, when Ψ is an isomorphism of curves, such an extension exists for every n ≥ 3 even when dim TX1 = n.
Original language | English (US) |
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Pages (from-to) | 4571-4581 |
Number of pages | 11 |
Journal | Proceedings of the American Mathematical Society |
Volume | 143 |
Issue number | 11 |
DOIs | |
State | Published - Nov 1 2015 |
Keywords
- Affine varieties
- Group actions
- One-parameter subgroups
- Transitivity
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics