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math.AC2007★ 1 cited
Automorphisms of a polynomial ring which admit reductions of type I
Shigeru Kuroda
Recently, Shestakov-Umirbaev solved Nagata's conjecture on an automorphism of a polynomial ring. To solve the conjecture, they defined notions called reductions of types I--IV for…
math.AC2007
A generalization of the Shestakov-Umirbaev inequality
Shigeru Kuroda
We give a generalization of the Shestakov-Umirbaev inequality which plays an important role in their solution of the tame generators conjecture.