44 citations · 70 across the 18 of their papers we have counts for
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math.AG2001
Rational curves and rational singularities
Hubert Flenner, Mikhail Zaidenberg
We study rational curves on algebraic varieties, especially on normal affine varieties endowed with a $\C^*$-action. For varieties with an isolated singularity, we show that the pr…
math.AG2001
Simple birational extensions of the polynomial ring $\C^{[3]}$
Sh. Kaliman, St. Venereau, M. Zaidenberg
The Abhyankar-Sathaye Problem asks whether any biregular embedding of affine spaces can be rectified, that is, is equivalent to a linear embedding up to an automor…
math.AG2001
Hyperbolic hypersurfaces in P^n of Fermat-Waring type
Bernard Shiffman, Mikhail Zaidenberg
In this note we show that there are algebraic families of hyperbolic, Fermat-Waring type hypersurfaces in P^n of degree 4(n-1)^2, for all dimensions n>1. Moreover, there are hyperb…