|
|
| Line 3: |
Line 3: |
| | <ref name="Blo74"/> | | <ref name="Blo74"/> |
| | <ref name="Blo00"/> | | <ref name="Blo00"/> |
| | + | <ref name="Blo78"/> |
| | | | |
| | <math>\int A=B</math> | | <math>\int A=B</math> |
| Line 12: |
Line 13: |
| | CRM Monograph Series, 11. American Mathematical Society, Providence, RI, 2000. x+97 pp.</ref> | | CRM Monograph Series, 11. American Mathematical Society, Providence, RI, 2000. x+97 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="Blo78">Bloch, S.; ''Applications of the dilogarithm function in algebraic K-theory and algebraic geometry''. Proceedings of the International Symposium on Algebraic Geometry (Kyoto Univ., Kyoto, 1977), pp. 103–114, Kinokuniya Book Store, Tokyo, 1978.</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>
| + | 14C35 (12A62 12A70 14F15) |
| − | <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> | | </references> |
