Killing Fields of Holomorphic Cartan Geometries
classification
🧮 math.DG
math.AG
keywords
cartangeometriesholomorphiccompactcomplexadmitsadmittingalgebraic
read the original abstract
We study local automorphisms of holomorphic Cartan geometries. This leads to classification results for compact complex manifolds admitting Cartan geometries. We prove that a compact Calabi-Yau manifold bearing a holomorphic Cartan geometry of algebraic type admits a finite unramified cover which is a complex torus.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.