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Preprint Number 698

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698. Martin Bays, Bradd Hart, and Anand Pillay
Universal covers of commutative finite Morley rank groups
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Submission date: 19 March 2014.

Abstract:

We give an algebraic description of the structure of the analytic universal cover of a complex abelian variety which suffices to determine the structure up to isomorphism. More generally, we classify the models of theories of “universal covers” of rigid divisible commutative finite Morley rank groups.

Mathematics Subject Classification: 03C45, 03C60, 14K99

Keywords and phrases:

Full text arXiv 1403.4883: pdf, ps.


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