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= Introduction = = References = <references> <ref name="FW">Faltings, G.; Wüstholz, G.; et al. ''Rational points''. Second edition. Papers from the seminar held at the Max-Planck-Institut für Mathematik, Bonn/Wuppertal, 1983/1984. Aspects of Mathematics, E6. Friedr. Vieweg & Sohn, Braunschweig, 1986. vi+268 pp.</ref> <ref name="FC">Faltings, G.; Chai, C.-L.; ''Degeneration of abelian varieties''. With an appendix by David Mumford. Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], 22. Springer-Verlag, Berlin, 1990. xii+316 pp. </ref> <ref name="HS">Hindry, M.; Silverman J. H.; ''Diophantine Geometry''. An introduction. Graduate Texts in Mathematics, 201. Springer-Verlag, New York, 2000. xiv+558 pp.</ref> <ref name="BG">Bombieri, E.; Gubler W.; ''Heights in Diophantine Geometry''. New Mathematical Monographs, 4. Cambridge University Press, Cambridge, 2006. xvi+652 pp.</ref> <ref name="ClayI">Darmon, H.; Ellwood, D. A.; Hassett, B.; Tschinkel, Y. (eds.); ''Arithmetic Geometry''. Clay Mathematics Proceedings. Volume 8. Darmon's article is available online: [http://www.math.mcgill.ca/darmon/pub/Articles/Expository/12.Clay/paper.pdf http://www.math.mcgill.ca/darmon/pub/Articles/Expository/12.Clay/paper.pdf]</ref> <ref name="Serre">Serre, J.-P.; ''Lectures on the Mordell-Weil theorem''. Translated from the French and edited by Martin Brown from notes by Michel Waldschmidt. Aspects of Mathematics, E15. Friedr. Vieweg & Sohn, Braunschweig, 1989. x+218 pp.</ref> <ref name="Serre2">Serre, J.-P.; ''Algebraic groups and class fields.'' Translated from the French. Graduate Texts in Mathematics, 117. Springer-Verlag, New York, 1988. x+207 pp. ISBN: 0-387-96648-X </ref> <ref name="CS">Cornell, G.; Silverman, J. H. (eds.); ''Arithmetic Geometry''. Papers from the conference held at the University of Connecticut, Storrs, Connecticut, July 30–August 10, 1984. Springer-Verlag, New York, 1986. xvi+353 pp. </ref> <ref name="Deligne">Deligne, P. [http://archive.numdam.org/article/SB_1983-1984__26__25_0.pdf ''Preuve des conjectures de Tate et de Shafarevitch (d'après G. Faltings)'']. Seminar Bourbaki, Vol. 1983/84.</ref> <ref name="Szpiro">Szpiro, L. (ed.); ''Séminaire sur les pinceaux arithmétiques: la conjecture de Mordell.'' Papers from the seminar held at the École Normale Supérieure, Paris, 1983–84. Astérisque No. 127 (1985). Société Mathématique de France, Paris, 1985. pp. i–vi and 1–287. </ref> <ref name="Tate">Tate, J. T.; [http://fhoermann.org/Tate%20-%20p-Divisible%20Groups.pdf ''p?divisible groups'']. 1967 Proc. Conf. Local Fields (Driebergen, 1966) pp. 158–183 Springer, Berlin</ref> <ref name="Hodge">Brinon, O.; Conrad, B.; ''CMI Summer School Notes on p-adic Hodge Theory.'' Available online at [http://math.stanford.edu/~conrad/ http://math.stanford.edu/~conrad/]</ref> <ref name="Neron">Bosch, S.; Lutkebohmert, W.; Raynaud, M.; ''Néron Models'', Springer-Verlag, 1980.</ref> <ref name="BL">Birkenhake, C.; Lange, H.; ''Complex Abelian Varieties''. Grundlehren der mathematischen Wissenschaften 302, Springer 1992.</ref> <ref name="Soule">Soulé, Ch.; ''Géométrie d'Arakelov des surfaces arithmétiques''. Séminaire Bourbaki, Vol. 1988/89. Astérisque No. 177-178 (1989), Exp. No. 713, 327–343.</ref> <ref name="SABK">Soulé, Ch.; ''Lectures on Arakelov geometry''. With the collaboration of D. Abramovich, J.-F. Burnol and J. Kramer. Cambridge Studies in Advanced Mathematics, 33. Cambridge University Press, Cambridge, 1992. viii+177 pp.</ref> <ref name="Lang">Lang, S. ''Introduction to Arakelov theory''. Springer-Verlag, New York, 1988. x+187 pp.</ref> <ref name="Groth">Grothendieck, A.; ''Modèles de Néron et monodromie'', in Groupes de Monodromie en géometrie algébrique, SGA 7 I.</ref> <ref name="GH">Griffiths, Ph.; Harris, J. ''Principles of algebraic geometry.'' Pure and Applied Mathematics. Wiley-Interscience [John Wiley & Sons], New York, 1978. xii+813 pp. </ref> <ref name="AMRT">Ash, A.; Mumford, D.; Rapoport, M.; Tai, Y.; ''Smooth compactification of locally symmetric varieties.'' Math. Sci. Press, Brookline, Mass., 1975. Lie Groups: History, Frontiers and Applications, Vol. IV. </ref> <ref name="Namikawa">Namikawa, Y.; ''Toroidal compactification of Siegel spaces.'' Lecture Notes in Mathematics, 812. Springer, Berlin, 1980. viii+162 pp. ISBN: 3-540-10021-0 </ref> <ref name="GIT">Mumford, D.; Fogarty, J.; Kirwan, F.; ''Geometric invariant theory.'' Third edition. Ergebnisse der Mathematik und ihrer Grenzgebiete (2) [Results in Mathematics and Related Areas (2)], 34. Springer-Verlag, Berlin, 1994. xiv+292 pp. ISBN: 3-540-56963-4</ref> <ref name="Alexeev">Alexeev, V.; ''Complete moduli in the presence of semiabelian group action.'' Ann. of Math. (2) 155 (2002), no. 3, 611–708.</ref> </references>
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