Symmetries of holomorphic geometric structures on tori

• Autorzy: Sorin Dumitrescu , Benjamin McKay
• Języki publikacji: EN

Abstrakty

EN

We prove that any holomorphic locally homogeneous geometric structure on a complex torus of dimension two, modelled on a complex homogeneous surface, is translation invariant. We conjecture that this result is true in any dimension. In higher dimension, we prove it for G nilpotent. We also prove that for any given complex algebraic homogeneous space (X, G), the translation invariant (X, G)-structures on tori form a union of connected components in the deformation space of (X, G)-structures.

Słowa kluczowe

EN

locally homogeneous structures; complex tori

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

Daty

otrzymano

2015-09-26

zaakceptowano

2016-01-08

online

2016-01-21

Twórcy

autor

Sorin Dumitrescu

• Universit´e Cˆote d’Azur, Universit´e Nice Sophia Antipolis, UMR CNRS 7351, Laboratoire J.-A. Dieudonn´e, Parc Valrose, 06108 NICE Cedex 02, France

autor

Benjamin McKay

• University College Cork, Cork, Ireland

Identyfikatory

DOI

10.1515/coma-2016-0001