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- W2012598480 abstract "Let k be an algebraically closed field of characteristic 0 and let A be a finitely generated k-algebra that is a domain whose Gelfand-Kirillov dimension is in [2, 3). We show that if A has a nonzero locally nilpotent derivation then A has quadratic growth. In addition to this, we show that A either satisfies a polynomial identity or A is isomorphic to a subalgebra of D(X), the ring of differential operators on an irreducible smooth affine curve X, and A is birationally isomorphic to D(X)." @default.
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- W2012598480 date "2012-03-15" @default.
- W2012598480 modified "2023-09-23" @default.
- W2012598480 title "Rings of differential operators on curves" @default.
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- W2012598480 doi "https://doi.org/10.1007/s11856-012-0029-9" @default.
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