Holomorphic Jet Bundles

Mathematics – Algebraic Geometry

Scientific paper

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80 pages, LaTex

Scientific paper

Chern number formulas for holomorphic jet bundles are computed for projective
curves and for projective surfaces. These formulas are used to show that
certain minimal surfaces of general type (generic hypersurfaces of degree at
least 5 in projective 3-spaces in particular) are hyperbolic in the sense of
complex hyperbolic geometry.

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