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Publications [#340294] of Colleen M Robles
Papers Published
- 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.
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