Extensions with shrinking fibers

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LetR be a finitely generated commutative algebra over an algebraically closed field k and let A = R[t;σ, δ] be the Ore extension with respect to an automorphism σ and a σ-derivation δ. We view A as the coordinate ring of an affine non-commutative space X. The inclusion R → A gives an affine map ξ : X → SpecR, and X is a non-commutative analogue of A 1 ×SpecR. We define the fiber Xp of ξ over a ...

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ژورنال

عنوان ژورنال: Ergodic Theory and Dynamical Systems

سال: 2020

ISSN: 0143-3857,1469-4417

DOI: 10.1017/etds.2020.22