3 papers
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…
math.AG2023
Locally Homogeneous Holomorphic Geometric Structures on Projective Varieties
Indranil Biswas, Benjamin McKay
For any smooth projective variety with holomorphic locally homogeneous structure modelled on a homogeneous algebraic variety, we determine all the subvarieties of it which develop…