Improved Kobayashi hyperbolicity bounds: generic surfaces in P^3 of degree >=17 and curve complements in P^2 of degree >=12, via vanishing of negatively twisted invariant 2-jet differentials.
Complete intersection varieties with ample cotangent bundles
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abstract
Any smooth projective variety contains many complete intersection subvarieties with ample cotangent bundles, of each dimension up to half its own dimension.
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Vanishing of Invariant 2-Jet Differentials and Improved Hyperbolicity Degree Bounds in Dimension Two
Improved Kobayashi hyperbolicity bounds: generic surfaces in P^3 of degree >=17 and curve complements in P^2 of degree >=12, via vanishing of negatively twisted invariant 2-jet differentials.