Constructing low degree hyperbolic surfaces in P^3

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dc.creatorShiffman, Bernard
dc.creatorZaidenberg, Mikhail
dc.date2002-02-25
dc.date.accessioned2026-07-07T06:24:32Z
dc.date.available2026-07-07T06:24:32Z
dc.descriptionWe describe a new method of constructing Kobayashi-hyperbolic surfaces in complex projective 3-space based on deforming surfaces with a "hyperbolic non-percolation" property. We use this method to show that general small deformations of certain singular abelian surfaces of degree 8 are hyperbolic. We also show that a union of 15 planes in general position in projective 3-space admits hyperbolic deformations.
dc.description9 pages, to appear in Chern issue of Houston J. Math
dc.identifierhttps://arxiv.org/abs/math/0202266
dc.identifierhttp://arxiv.org/abs/math/0202266
dc.identifierHouston J. of Math. 28, Special issue for S. S. Chern, (2002), 377-388.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96575
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14J70, 32Q45, 32H25
dc.titleConstructing low degree hyperbolic surfaces in P^3
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