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math.AG2002
-actions on contractible threefolds
Shulim Kaliman, Nikolai Saveliev
Let be a smooth contractible affine algebraic threefold with a nontrivial algebraic -action on it. We show that is rational and the algebraic quotient $X//{\bf C…
math.AG2002
Subrings invariant under endomorphisms
Shulim Kaliman
Let S and R be the rings of regular functions on affine algebraic varieties over a field of characteristic 0, R be embedded as a subring in S, and F : S --> S be an endomorphism su…
math.AG2002★ 1 cited
Free C_+ -actions on C^3 are translations
Shulim Kaliman
Let X' be a smooth contractible three-dimensional affine algebraic variety with a free algebraic C_+ -action on it such that S =X'// C_+ is smooth. We prove that X' is isomorphic t…