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20172026
most citedAlgebraic Gromov ellipticity: a brief survey

3 citations · 5 across the 5 of their papers we have counts for

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math.AG2026

Algebraic ellipticity of double covers of

Alexander Dvorsky, Shulim Kaliman, Mikhail Zaidenberg

We show that every smooth complex double cover of branched along a smooth divisor of tridegree is algebraically Gromov elliptic. These irrational Fano t…

math.AG2026

Algebraic ellipticity of quartic double spaces

Alexander Dvorsky, Shulim Kaliman, Mikhail Zaidenberg

We prove that every smooth quartic double -fold, , over an algebraically closed field of characteristic zero is algebraically elliptic in Gromov's sense. In particular, e…

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★ 3 cited

Algebraic Gromov ellipticity: a brief survey

Mikhail Zaidenberg

We survey on algebraically elliptic varieties in the sense of Gromov.

math.AG2024★ 1 cited

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

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.

math.AG2017★ 1 cited

A remark on the intersection of plane curves

C. Ciliberto, F. Flamini, M. Zaidenberg

Let be a very general curve of degree in , with . Let be an integral curve of geometric genus and degree …