Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke





.......................

.......................


Publications [#340294] of Colleen M Robles

Papers Published

  1. Griffths, P; Robles, C; Toledo, D, Quotients of non-classical flag domains are not algebraic, Algebraic Geometry, vol. 1 no. 1 (January, 2014), pp. 1-13, Foundation Compositio Mathematica [doi]
    (last updated on 2024/03/29)

    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 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.

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320