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math.SG2025
Hyperbolic contact symplectic lifts
Filippo Bracci, Benjamin McKay, Riccardo Ugolini
Consider a holomorphic contact manifold. Holomorphic discs tangent to the contact planes define a pseudometric on the manifold. This pseudometric integrates to a pseudodistance. Wh…
math.DG2025
Holomorphic parabolic geometries on smooth projective varieties
Benjamin McKay
We classify the holomorphic parabolic geometries on compact complex manifolds of general type. We accomplish this by bounding the numerical dimension of any smooth projective varie…