4 papers
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…
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…
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…
Characteristic forms of complex Cartan geometries III: G-structures
Benjamin McKay
Characteristic class relations in Dolbeault cohomology follow from the existence of a holomorphic geometric structure (for example, holomorphic conformal structures, holomorphic En…