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math.DG2026
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.DG2025
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…