4 papers
math.AG2026
Locally finite solvable Lie algebras of derivations
Mikhail Zaidenberg
Let X be an affine variety. The local finiteness of a Lie subalgebra h of Lie(Aut(X)) is equivalent to the existence of an algebraic subgroup G of Aut(X) such that h is contained i…
math.AG2024
Gromov elliptic resolutions of quartic double solid
Ciro Ciliberto, Mikhail Zaidenberg
We construct examples of nodal quartic double solids that admit uniformly rational, and so elliptic in Gromov' sense, small algebraic resolutions.
math.AG2024
Algebraic Gromov ellipticity: a brief survey
Mikhail Zaidenberg
We survey on algebraically elliptic varieties in the sense of Gromov.
math.AG2024
Automorphism groups of affine varieties and their Lie algebras
Hanspeter Kraft, Mikhail Zaidenberg
This is a brief overview of a few selected chapters on automorphism groups of affine varieties. It includes some open questions.