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arxiv: 1312.2617 · v1 · pith:BOXWGFJJnew · submitted 2013-12-09 · 🧮 math.AG

Some Families of Polynomial Automorphisms III

classification 🧮 math.AG
keywords automorphismspolynomialab-1affinecd-1closurecomplexconjecture
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We prove that the closure (for the Zariski topology) of the set of polynomial automorphisms of the complex affine plane whose polydegree is (cd-1,b,a) contains all triangular automorphisms of degree cd+a, where a,b >1 and c>0 are integers and d=ab-1. When b=2, this result gives a family of counterexamples to a conjecture of Furter.

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