\newcommand{\etalchar}[1]{$^{#1}$}
\begin{thebibliography}{BHH{\etalchar{+}}14}

\bibitem[Bay10]{BaysThesis}
Martin Bays.
\newblock {\em Categoricity Results for Exponential Maps of 1-Dimensional
  Algebraic Groups \& Schanuel Conjectures for Powers and the CIT}.
\newblock PhD thesis, Oxford University, 2010.
\newblock URL: \url{http://wwwmath.uni-muenster.de/u/baysm/dist/thesis/}.

\bibitem[BBP16]{BeBoPiSSharp}
Franck Benoist, Elisabeth Bouscaren, and Anand Pillay.
\newblock Semiabelian varieties over separably closed fields, maximal divisible
  subgroups, and exact sequences.
\newblock {\em J. Inst. Math. Jussieu}, 15(1):29--69, 2016.

\bibitem[Ber11]{BertrandLuminy}
Daniel Bertrand.
\newblock Galois descent in {G}alois theories.
\newblock In {\em Arithmetic and {G}alois theories of differential equations},
  volume~23 of {\em S\'emin. Congr.}, pages 1--24. Soc. Math. France, Paris,
  2011.

\bibitem[BGH14]{BGHKg}
Martin Bays, Misha Gavrilovich, and Martin Hils.
\newblock Some definability results in abstract {K}ummer theory.
\newblock {\em Int. Math. Res. Not. IMRN}, (14):3975--4000, 2014.

\bibitem[BHH{\etalchar{+}}14]{BHHKK}
Martin Bays, Bradd Hart, Tapani Hyttinen, Meeri Kes{\"a}l{\"a}, and Jonathan
  Kirby.
\newblock Quasiminimal structures and excellence.
\newblock {\em Bull. Lond. Math. Soc.}, 46(1):155--163, 2014.

\bibitem[Bue96]{BuechlerEssStab}
Steven Buechler.
\newblock {\em Essential stability theory}.
\newblock Perspectives in Mathematical Logic. Springer-Verlag, Berlin, 1996.

\bibitem[BZ11]{BZCovers}
Martin Bays and Boris Zilber.
\newblock Covers of multiplicative groups of algebraically closed fields of
  arbitrary characteristic.
\newblock {\em Bull. Lond. Math. Soc.}, 43(4):689--702, 2011.

\bibitem[Fuc70]{FuchsInfAb}
L{\'a}szl{\'o} Fuchs.
\newblock {\em Infinite abelian groups. {V}ol. {I}}.
\newblock Pure and Applied Mathematics, Vol. 36. Academic Press, New York,
  1970.

\bibitem[Gav06]{GavThesis}
Misha Gavrilovich.
\newblock {\em Model theory of the universal covering spaces of complex
  algebraic varieties}.
\newblock PhD thesis, Oxford University, 2006.

\bibitem[Gav08]{MishaTrans}
Misha Gavrilovich.
\newblock A remark on transitivity of {G}alois action on the set of uniquely
  divisible abelian extensions in {${\rm Ext}\sp 1(E(\overline{\Bbb
  Q}),\Lambda)$}.
\newblock {\em $K$-Theory}, 38(2):135--152, 2008.

\bibitem[Har87]{HartOTOP}
Bradd Hart.
\newblock An exposition of {OTOP}.
\newblock In {\em Classification theory ({C}hicago, {IL}, 1985)}, volume 1292
  of {\em Lecture Notes in Math.}, pages 107--126. Springer, Berlin, 1987.

\bibitem[JR87]{JacquinotRibet84}
Olivier Jacquinot and Kenneth~A. Ribet.
\newblock Deficient points on extensions of abelian varieties by {${\bf G}\sb
  m$}.
\newblock {\em J. Number Theory}, 25(2):133--151, 1987.

\bibitem[Lac73]{LachlanLIsol}
Alistair~H. Lachlan.
\newblock On the number of countable models of a countable superstable theory.
\newblock In {\em Logic, methodology, philosophy of science 4}, pages 45--56.
  1973.

\bibitem[Lan91]{LangSurveyDioph}
Serge Lang.
\newblock {\em Number theory. {III}}, volume~60 of {\em Encyclopaedia of
  Mathematical Sciences}.
\newblock Springer-Verlag, Berlin, 1991.
\newblock Diophantine geometry.

\bibitem[Lar05]{LarsenMWTor}
Michael Larsen.
\newblock A mordell-weil theorem for abelian varieties over fields generated by
  torsion points.
\newblock 2005.
\newblock arXiv:math/0503378v1 [math.NT].

\bibitem[Las85]{LascarFMRGrps}
Daniel Lascar.
\newblock Les groupes {$\omega$}-stables de rang fini.
\newblock {\em Trans. Amer. Math. Soc.}, 292(2):451--462, 1985.

\bibitem[Moo05]{MoosaKahler}
Rahim~N. Moosa.
\newblock The model theory of compact complex spaces.
\newblock In {\em Logic {C}olloquium '01}, volume~20 of {\em Lect. Notes Log.},
  pages 317--349. Assoc. Symbol. Logic, Urbana, IL, 2005.

\bibitem[PS03]{PSMeroGrp}
Anand Pillay and Thomas Scanlon.
\newblock Meromorphic groups.
\newblock {\em Trans. Amer. Math. Soc.}, 355(10):3843--3859, 2003.

\bibitem[Rib79]{RibetKummer}
Kenneth~A. Ribet.
\newblock Kummer theory on extensions of abelian varieties by tori.
\newblock {\em Duke Math. J.}, 46(4):745--761, 1979.

\bibitem[Ser58]{SerreAbelian}
Jean-Pierre Serre.
\newblock Quelques propri\'et\'es des vari\'et\'es ab\'eliennes en
  caract\'eristique {$p$}.
\newblock {\em Amer. J. Math.}, 80:715--739, 1958.

\bibitem[Ser00]{SerreOeuvresIV}
Jean-Pierre Serre.
\newblock {\em {\OE}uvres. {C}ollected papers. {IV}}.
\newblock Springer-Verlag, Berlin, 2000.
\newblock 1985--1998.

\bibitem[She90]{ShCT}
S.~Shelah.
\newblock {\em Classification theory and the number of nonisomorphic models},
  volume~92 of {\em Studies in Logic and the Foundations of Mathematics}.
\newblock North-Holland Publishing Co., Amsterdam, 1990.

\bibitem[Zil02]{ZCovers2}
B.~Zilber.
\newblock Model theory, geometry and arithmetic of the universal cover of a
  semi-abelian variety.
\newblock In {\em Model theory and applications}, volume~11 of {\em Quad.
  Mat.}, pages 427--458. Aracne, Rome, 2002.

\bibitem[Zil06]{ZCovers}
Boris Zilber.
\newblock Covers of the multiplicative group of an algebraically closed field
  of characteristic zero.
\newblock {\em J. London Math. Soc. (2)}, 74(1):41--58, 2006.

\end{thebibliography}
