Quotients of non-classical flag domains are not algebraic
Algebraic Geometry
2013-03-04 v1
Abstract
A flag domain D = G/V for G a simple real non-compact group G with compact Cartan subgroup is non-classical if it does not fiber holomorphically or anti-holomorphically over a Hermitian symmetric space. We prove that any two points in a non-classical domain D can be joined by a finite chain of compact subvarieties of D. Then we prove that for F an infinite, finitely generated discrete subgroup of G, the analytic space F\D does not have an algebraic structure.
Keywords
Cite
@article{arxiv.1303.0252,
title = {Quotients of non-classical flag domains are not algebraic},
author = {Phillip Griffiths and Colleen Robles and Domingo Toledo},
journal= {arXiv preprint arXiv:1303.0252},
year = {2013}
}