UNIVERSAL COVERS OF COMMUTATIVE FINITE MORLEY RANK GROUPS

UNIVERSAL COVERS OF COMMUTATIVE FINITE MORLEY RANK GROUPS

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 group...

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Veröffentlicht in:Journal of the Institute of Mathematics of Jussieu 2020-05, Vol.19 (3), p.767-799
Hauptverfasser: Bays, Martin, Hart, Bradd, Pillay, Anand
Format: Artikel
Sprache:eng
Schlagworte:
Group theory
Isomorphism
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Beschreibung
Zusammenfassung: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.
ISSN:1474-7480
1475-3030
DOI:10.1017/S1474748018000191