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Let $$X$$ X be an abelian variety defined over an algebraically closed field $$k$$ k . We consider theta groups associated to simple, semi-homogenous vector bundles of separable type on $$X$$ X . We determine the structure and representation theory of these groups. In doing so we relate work of Mumford, Mukai, and Umemura. We also consider adelic theta groups associated to...
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