activity
19982005
most citedLocally nilpotent derivations on affine surfaces with a $\C^*$-action

44 citations · 54 across the 8 of their papers we have counts for

collaborators

16 papers

math.AG2005

On a result of Miyanishi-Masuda

Hubert Flenner, Mikhail Zaidenberg

Let be an affine surface admitting a unique affine ruling and a -action. Assume that the ruling has a unique degenerate fibre and that this fibre is irreducible. I…

math.AG2005

Selected problems

Mikhail Zaidenberg

This is a renovated list of open problems, to appear in: "Affine Algebraic Geometry" conference Proceedings volume in Contemporary Mathematics series of the Amer. Math. Soc. Ed. by…

math.AG20048 cited

On the uniqueness of -actions on affine surfaces

Hubert Flenner, Mikhail Zaidenberg

We prove that a normal affine surface over admits an effective action of a maximal torus () such that any other effective -act…

math.AG200444 cited

Locally nilpotent derivations on affine surfaces with a $\C^*$-action

Hubert Flenner, Mikhail Zaidenberg

We give a classification of normal affine surfaces admitting an algebraic group action with an open orbit. In particular an explicit algebraic description of the affine coordinate…

math.AG20032 cited

Hyperbolic surfaces in : examples

Mikhail Zaidenberg

This is a recent conference report on the Kobayashi Problem on hyperbolicity of generic projective hypersurfaces. As an appendix, a (non-updated) author's survey article of 1992 on…

math.AG2003

Venereau polynomials and related fiber bundles

Shulim Kaliman, Mikhail Zaidenberg

The Venereau polynomials v-n:=y+x^n(xz+y(yu+z^2)), n>= 1, on A4 have all fibers isomorphic to the affine space A3. Moreover, for all n>= 1 the map (v-n, x) : A4 -> A2 yields a flat…