Quotients of non-classical flag domains are not algebraic
Journal Article (Journal Article)
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 for Γ an infinite, finitely generated discrete subgroup of G, the analytic space Γ / D does not have an algebraic structure. We also give another proof of the theorem of Huckleberry that any two points in a non-classical domain D can be joined by a finite chain of compact subvarieties of D.
Full Text
Duke Authors
Cited Authors
- Griffths, P; Robles, C; Toledo, D
Published Date
- January 1, 2014
Published In
Volume / Issue
- 1 / 1
Start / End Page
- 1 - 13
Electronic International Standard Serial Number (EISSN)
- 2214-2584
International Standard Serial Number (ISSN)
- 2313-1691
Digital Object Identifier (DOI)
- 10.14231/AG-2014-001
Citation Source
- Scopus