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arXiv · 1303.0252

Quotients of non-classical flag domains are not algebraic

Phillip Griffiths·Colleen Robles·Domingo Toledo
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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.

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Phillip Griffiths, Colleen Robles, Domingo Toledo. 2013-03-01. Quotients of non-classical flag domains are not algebraic. https://arxiv.org/abs/1303.0252

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