Journal
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU
Volume 19, Issue 3, Pages 767-799Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S1474748018000191
Keywords
Abelian varieties; exponential map; Kummer theory; categoricity; Morley rank
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Funding
- EPSRC [EP/I002294/1] Funding Source: UKRI
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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.
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