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math.AG2003★ 2 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…
math.AG2003
3-fold symmetric products of curves as hyperbolic hypersurfaces in $\Proj^4$
Ciro Ciliberto, Mikhail Zaidenberg
We construct new examples of Kobayashi hyperbolic hypersurfaces in the projective 4-space. They are generic projections of the triple symmetric product of a generic curve of genus…