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- W1972268910 abstract "We construct two classes of singular Kobayashi hyperbolic surfaces in ℙ 3 . The first consists of generic projections of the Cartesian square V = C × C of a generic genus g ≥ 2 curve C smoothly embedded in ℙ 5 . These surfaces have C-hyperbolic normalizations; we give some lower bounds for their degrees and provide an example of degree 32. The second class of examples of hyperbolic surfaces in ℙ 3 is provided by generic projections of the symmetric square V′ = C 2 of a generic genus g ≥ 3 curve C. The minimal degree of these surfaces is 16, but this time the normalizations are not C-hyperbolic." @default.
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- W1972268910 date "2000-02-01" @default.
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- W1972268910 title "TWO CLASSES OF HYPERBOLIC SURFACES IN ℙ<sup>3</sup>" @default.
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- W1972268910 doi "https://doi.org/10.1142/s0129167x00000064" @default.
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