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arXiv · 1312.2617

Some Families of Polynomial Automorphisms III

Eric Edo·Drew Lewis
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Abstract

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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Eric Edo, Drew Lewis. 2013-12-09. Some Families of Polynomial Automorphisms III. https://arxiv.org/abs/1312.2617

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