@article{BSMF_1996__124_3_457_0, author = {Masser, D.W.}, title = {Specialization of endomorphism rings of abelian varieties}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {457--476}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {124}, number = {3}, year = {1996}, doi = {10.24033/bsmf.2288}, mrnumber = {97k:11093}, zbl = {0866.11040}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/bsmf.2288/} }
TY - JOUR AU - Masser, D.W. TI - Specialization of endomorphism rings of abelian varieties JO - Bulletin de la Société Mathématique de France PY - 1996 SP - 457 EP - 476 VL - 124 IS - 3 PB - Société mathématique de France UR - http://archive.numdam.org/articles/10.24033/bsmf.2288/ DO - 10.24033/bsmf.2288 LA - en ID - BSMF_1996__124_3_457_0 ER -
%0 Journal Article %A Masser, D.W. %T Specialization of endomorphism rings of abelian varieties %J Bulletin de la Société Mathématique de France %D 1996 %P 457-476 %V 124 %N 3 %I Société mathématique de France %U http://archive.numdam.org/articles/10.24033/bsmf.2288/ %R 10.24033/bsmf.2288 %G en %F BSMF_1996__124_3_457_0
Masser, D.W. Specialization of endomorphism rings of abelian varieties. Bulletin de la Société Mathématique de France, Volume 124 (1996) no. 3, pp. 457-476. doi : 10.24033/bsmf.2288. http://archive.numdam.org/articles/10.24033/bsmf.2288/
[A] G-functions and geometry, Aspects of Mathematics E13, Vieweg-Verlag, Braunschweig Wiesbaden, 1989. | MR | Zbl
. -[B] Borne effective pour l'exposant dans le théorème des zéros, C.R. Acad. Sci. Paris, t. 305, 1987, p. 287-290. | MR | Zbl
. -[D] Minorations de hauteurs sur les variétés abéliennes, Bull. Soc. Math. France, t. 121, 1993, p. 509-544. | Numdam | MR | Zbl
. -[FP] Quelques résultats de transcendance liés à l'invariant modulaire j, J. Number theory, t. 25, 1987, p. 184-200. | MR | Zbl
and . -[G] Hilbert modular surfaces. - Springer-Verlag, Berlin Heidelberg New York London Paris Tokyo, 1988. | MR | Zbl
. -[H] Algebraic geometry. - Springer-Verlag, New York Heidelberg Berlin 1977. | MR | Zbl
. -[JN] Jacobians with complex multiplication, Arithmetic algebraic geometry (eds. G. van der Geer, F. Oort, J. Steenbrink), Progress in Math., t. 89, Birkhäuser, Boston Basel Berlin 1991, p. 177-192. | MR | Zbl
and . -[L] Equations for endomorphisms of abelian varieties, Math. Annalen, t. 280, 1988, p. 613-623. | MR | Zbl
. -[Ma1] Small values of heights on families of abelian varieties, Diophantine approximation and transcendence theory (ed. G. Wüstholz), Lecture Notes in Math., t. 1290, Springer-Verlag, 1987, p. 109-148. | MR | Zbl
. -[Ma2] Specializations of finitely generated subgroups of abelian varieties, Trans. Amer. Math. Soc., t. 311, 1989, p. 413-424. | MR | Zbl
. -[Ma3] Large period matrices and a conjecture of Lang, Séminaire de Théorie des Nombres Paris 1991-1992 (ed. S. David), Progress in Math., t. 116, Birkhäuser, Boston Basel Berlin, 1993, p. 152-177. | Zbl
. -[MW1] Fields of large transcendence degree generated by values of elliptic functions, Invent. Math, t. 72, 1983, p. 407-464. | EuDML | MR | Zbl
and . -[MW2] Periods and minimal abelian subvarieties, Annals of Math., t. 137, 1993, p. 407-458. | MR | Zbl
and . -[MW3] Endomorphism estimates for abelian varieties, Math. Z, t. 215, 1994, p. 641-653. | EuDML | MR | Zbl
and . -[Me] Familles de courbes hyperelliptiques à multiplications réelles, Arithmetic algebraic geometry (eds. G. van der Geer, F. Oort, J. Steenbrink), Progress in Math., t. 89, Birkhäuser, Boston Basel Berlin 1991, p. 193-208. | MR | Zbl
. -[Mo] The endomorphism rings of some abelian varieties, Japan. J. Math., t. 2, 1976, p. 109-130. | MR | Zbl
. -[Na] Multiplicity estimates and the product theorem, Bull. Soc. Math. France, t. 123, 1995, p. 155-188. | EuDML | Numdam | MR | Zbl
. -[Ne] Bounds for the characteristic function of a prime ideal, Math. USSR Sbornik, t. 51, 1985, p. 9-32 (Math. Sbornik, t. 123, 1984, p. 11-34). | Zbl
. -[No] Abelian varieties Galois representations and properties of ordinary reduction, Compositio Math., t. 97, 1995, p. 161-171. | EuDML | Numdam | MR | Zbl
. -[P] Lemmes de zéros dans les groupes algébriques commutatifs, Bull. Soc. Math. France, t. 114, 1986, p. 355-383 ; and Addendum, ibid., t. 115, 1987, p. 397-398. | EuDML | Numdam | MR | Zbl
. -[Se1] Letter to Ribet, dated 1.1.1981.
. -[Se2] Lectures on the Mordell-Weil theorem, Aspects of Mathematics E15, Vieweg-Verlag, Braunschweig Wiesbaden, 1990.
. -[Sh] On analytic families of polarized abelian varieties and automorphic functions, Annals of Math., t. 78, 1963, p. 149-192. | MR | Zbl
. -Cited by Sources: