When is the automorphism group of an affine variety nested?

Alexander Perepechko, Andriy Regeta

For an affine algebraic variety $X$, we study the subgroup ${\mathrm{Aut}}_{\text{alg}}(X)$ of the group of regular automorphisms $\mathrm{Aut}(X)$ of $X$ generated by all the connec…