ON THE EXISTENCE OF HOLOMORPHIC CURVES IN COMPACT QUOTIENTS OF SL(2, C)
Résumé
We prove the existence of a pair (Σ, Γ), where Σ is a compact Riemann surface with genus(Σ) ≥ 2, and Γ ⊂ SL(2, C) is a cocompact lattice, such that there is a generically injective holomorphic map Σ −→ SL(2, C)/Γ. This gives an affirmative answer to a question raised by Huckleberry and Winkelmann [HW] and by Ghys [Gh].
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)