Two classes of hyperbolic surfaces in P^3

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dc.creatorShiffman, Bernard
dc.creatorZaidenberg, Mikhail
dc.date1998-11-25
dc.date.accessioned2026-07-07T06:24:33Z
dc.date.available2026-07-07T06:24:33Z
dc.descriptionWe construct two classes of singular Kobayashi hyperbolic surfaces in $P^3$. The first consists of generic projections of the cartesian square $V = C \times C$ of a generic genus $g \ge 2$ 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 $g \ge 3$ curve $C$. The minimal degree of these surfaces is 16, but this time the normalizations are not C-hyperbolic.
dc.identifierhttps://arxiv.org/abs/math/9811152
dc.identifierhttp://arxiv.org/abs/math/9811152
dc.identifierInternational J. Math. 11 (2000), 65-101.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96584
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14J70, 14H35, 14E25, 14C20, 14M99, 32H20
dc.titleTwo classes of hyperbolic surfaces in P^3
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