Some Families of Polynomial Automorphisms III
Algebraic Geometry
2013-12-11 v1
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.
Keywords
Cite
@article{arxiv.1312.2617,
title = {Some Families of Polynomial Automorphisms III},
author = {Eric Edo and Drew Lewis},
journal= {arXiv preprint arXiv:1312.2617},
year = {2013}
}
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12 pages