1 citations · 3 across the 7 of their papers we have counts for
9 papers
Co-tame polynomial automorphisms
Eric Edo, Drew Lewis
A polynomial automorphism of over a field of characteristic zero is called co-tame if, together with the affine subgroup, it generates the entire tame subgroup. We p…
Closed subgroups of the polynomial automorphism group containing the affine subgroup
Eric Edo
We prove that, in characteristic zero, closed subgroups of the polynomial automorphisms group containing the affine group contain the whole tame group.
The affine automorphism group of A^3 is not a maximal subgroup of the tame automorphism group
Eric Edo, Drew Lewis
We construct explicitly a family of proper subgroups of the tame automorphism group of affine three-space (in any characteristic) which are generated by the affine subgroup and a n…
On the closure of the tame automorphism group of affine three-space
Eric Edo, Pierre-Marie Poloni
We provide explicit families of tame automorphisms of the complex affine three-space which degenerate to wild automorphisms. This shows that the tame subgroup of the group of polyn…
Some Families of Polynomial Automorphisms III
Eric Edo, Drew Lewis
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 autom…
Generalisations of the tame automorphisms over a domain of positive characteristic
Eric Edo, Shigeru Kuroda
In this paper, we introduce two generalizations of the tame subgroup of the automorphism group of a polynomial ring over a domain of positive characteristic. We study detailed stru…