2 Ju n 20 08 A commuting derivations theorem on UFD ’ s

Abstract

Let A be the polynomial ring over k (a field of characteristic zero) in n + 1 variables. The commuting derivations conjecture states that n commuting locally nilpotent derivations on A, linearly independent over A, must satisfy A D 1 ,...,Dm = k[f ] where f is a coordinate. The conjecture can be formulated as stating that a (G m) n-action on k n+1 must have… (More)

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