Holomorphic Cartan geometries and rational curves

Indranil Biswas, and Benjamin McKay. "Holomorphic Cartan geometries and rational curves." Complex Manifolds 3.1 (2016): 145-168. <http://eudml.org/doc/277113>.

@article{IndranilBiswas2016,
abstract = {We prove that any compact Kähler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact Kähler manifold. This shows that many complex manifolds admit no or few holomorphic Cartan geometries.},
author = {Indranil Biswas, Benjamin McKay},
journal = {Complex Manifolds},
keywords = {compact Kähler manifold; complex manifolds},
language = {eng},
number = {1},
pages = {145-168},
title = {Holomorphic Cartan geometries and rational curves},
url = {http://eudml.org/doc/277113},
volume = {3},
year = {2016},
}

TY - JOUR
AU - Indranil Biswas
AU - Benjamin McKay
TI - Holomorphic Cartan geometries and rational curves
JO - Complex Manifolds
PY - 2016
VL - 3
IS - 1
SP - 145
EP - 168
AB - We prove that any compact Kähler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact Kähler manifold. This shows that many complex manifolds admit no or few holomorphic Cartan geometries.
LA - eng
KW - compact Kähler manifold; complex manifolds
UR - http://eudml.org/doc/277113
ER -