3-fold symmetric products of curves as hyperbolic hypersurfaces in $\Proj^4$

Ciro Ciliberto; Mikhail Zaidenberg

arxiv: math/0301082 · v1 · submitted 2003-01-09 · 🧮 math.AG

3-fold symmetric products of curves as hyperbolic hypersurfaces in Proj⁴

Ciro Ciliberto , Mikhail Zaidenberg This is my paper

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keywords generichyperbolichypersurfacesprojectivespacesymmetricconstructcurve

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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 at least 7, smoothly embedded in the projective 7-space.

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3-fold symmetric products of curves as hyperbolic hypersurfaces in Proj⁴

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