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arXiv · 1009.2258

Density of Zariski density for surface groups

Inkang Kim·Pierre Pansu
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Abstract

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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Inkang Kim, Pierre Pansu. 2010-09-12. Density of Zariski density for surface groups. https://doi.org/10.1215/00127094-2690696

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