Holomorphic Cartan geometries and rational curves-Reference-Cited by-同舟云学术

Holomorphic Cartan geometries and rational curves

Published:2016-01-21 Issue:1 Volume:3 Page:
ISSN:2300-7443
Container-title:Complex Manifolds
language:
Short-container-title:

Author:

Biswas Indranil,McKay Benjamin

Abstract

AbstractWe 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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/view/j/coma.2016.3.issue-1/coma-2016-0004/coma-2016-0004.pdf

Reference29 articles.

1. and Rationally connected homogeneous spaces Invent;Bien;Math,1996

2. Two constructions with parabolic geometries Rend;Čap;Circ Mat,2006

3. Holography principle for twistor spaces Pure Appl;Verbitsky;Math Q,2014

4. Rational curves on complex manifolds Milan;Cascini;J Math,2013

5. Sur les arcs analytique d un espace de Cartan;Ehresmann;Acad Sci,1938

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