Density of Zariski density for surface groups

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

We show that a surface group contained in a reductive real algebraic group
can be deformed to become Zariski dense, unless its Zariski closure acts
transitively on a Hermitian symmetric space of tube type. This is a kind of
converse to a rigidity result of Burger, Iozzi and Wienhard.

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