Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves

Details Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves

2010-09-29

arxiv.org/abs/1009.5801v1

Differential Geom. Appl. 28 (2010), no. 1, 102--106

Mathematics

Algebraic Geometry

7 pages

Scientific paper

10.1016/j.difgeo.2009.09.003

We prove that if a Calabi--Yau manifold $M$ admits a holomorphic Cartan
geometry, then $M$ is covered by a complex torus. This is done by establishing
the Bogomolov inequality for semistable sheaves on compact K\"ahler manifolds.
We also classify all holomorphic Cartan geometries on rationally connected
complex projective manifolds.

Affiliated with

Also associated with

No associations

Rating

Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-522975