Extension Phenomena for Holomorphic Geometric Structures

Abstract

The most commonly encountered types of complex analytic G-structures and Cartan geometries cannot have singularities of complex codimension 2 or more.

published version

References in corpus (10)

• Paraconformal geometry of $n$th order ODEs, and exotic holonomy in dimension four
• Two constructions with parabolic geometries
• Contact Projective Structures
• Canonical Cartan connection and holomorphic invariants on Engel CR manifolds
• Nonholonomic systems via moving frames: Cartan equivalence and Chaplygin Hamiltonization
• Holomorphic Parabolic Geometries and Calabi-Yau Manifolds
• Morphisms of Cartan connections
• GL(2,R) geometry of ODE's
• Extra extension properties of equidimensional holomorphic mappings: results and open questions
• An introduction to Cartan geometries

Cited by in corpus (5)

• Morphisms of Cartan connections
• Transversely holomorphic branched Cartan geometry
• Uniformization of compact complex manifolds by Anosov representations
• Skew-symmetric complex matrices, pure spinors, the twistor space of the conformal $2n$-sphere, and the Fano variety of linear $n$-folds of a non-singular complex quadric hypersurface in ${\mathbb{P}}^{2n+1}$
• Boundedness of the Images of Period Maps