Locally Nilpotent Derivations on the Surface xy = p(z)

L. Makar-Limanov ()
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L. Makar-Limanov: Bar-Ilan University, Department of Mathematics and Computer Science

A chapter in Proceedings of the Third International Algebra Conference, 2003, pp 215-219 from Springer

Abstract: Abstract Let p(z) ∈ ℂ[z] be a polynomial of degree at least 2. The goal is to prove the following. Suppose that ∂ is a nonzero locally nilpotent derivation (LND for short) of the ℂ-algebra R generated by x, y, and z subject to a relation xy = p(z). Then the kernel of this derivation is a polynomial ring generated by the image of x under an automorphism of R.

Keywords: Polynomial Ring; Algebraic Closure; Zero Divisor; Common Zero; Leibniz Rule (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0337-6_9

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DOI: 10.1007/978-94-017-0337-6_9

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