Holomorphic Cartan geometries and rational curves

• Autorzy: Indranil Biswas , Benjamin McKay
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53C56: Other complex differential geometry
• 53C55: Hermitian and K\"ahlerian manifolds
• 53A55: Differential invariants (local theory), geometric objects

• Wydawca: De Gruyter Open
• Czasopismo: Complex Manifolds
• Rocznik: 2016
• Tom: 3
• Numer: 1

Daty

otrzymano

2015-10-30

zaakceptowano

2016-02-25

online

2016-03-21

Twórcy

autor

Indranil Biswas

• Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India

autor

Benjamin McKay

• University College Cork, Cork, Ireland

Identyfikatory

DOI

10.1515/coma-2016-0004