A new symmetry method using involution-invariant perturbations proves Kobayashi hyperbolicity for very generic degree-d surfaces in P^3 when d ≥ 16.
Complete intersection varieties with ample cotangent bundles
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
Any smooth projective variety contains many complete intersection subvarieties with ample cotangent bundles, of each dimension up to half its own dimension.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
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A Symmetry Method for Key Vanishing Lemmas and Optimal $2$-Jet Thresholds for Hyperbolicity
A new symmetry method using involution-invariant perturbations proves Kobayashi hyperbolicity for very generic degree-d surfaces in P^3 when d ≥ 16.
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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.