Factorization estimates for abelian varieties
Masser, D. W. ; Wüstholz, G.
Publications Mathématiques de l'IHÉS, Tome 82 (1995), p. 5-24 / Harvested from Numdam
Publié le : 1995-01-01
@article{PMIHES_1995__81__5_0,
     author = {Masser, D.W. and W\"ustholz, Gisbert},
     title = {Factorization estimates for abelian varieties},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     volume = {82},
     year = {1995},
     pages = {5-24},
     mrnumber = {96j:11083},
     zbl = {0854.11030},
     language = {en},
     url = {http://dml.mathdoc.fr/item/PMIHES_1995__81__5_0}
}
Masser, D. W.; Wüstholz, G. Factorization estimates for abelian varieties. Publications Mathématiques de l'IHÉS, Tome 82 (1995) pp. 5-24. http://gdmltest.u-ga.fr/item/PMIHES_1995__81__5_0/

[B] D. Bertrand, Minimal heights and polarizations on abelian varieties, preprint M.S.R.I. 06220-87 (June 1987).

[Ca] J. W. S. Cassels, Rational quadratic forms, Academic Press, 1978. | MR 80m:10019 | Zbl 0395.10029

[CR1] C. W. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, Interscience Publishers, 1962. | MR 26 #2519 | Zbl 0131.25601

[CR2] C. W. Curtis and I. Reiner, Methods of representation theory with applications to finite groups and orders, Vol. I, Wiley-Interscience, 1981. | Zbl 0469.20001

[F] G. Faltings, Endlichkeitssätze für abelsche Varietäten über Zahlkörpern, Invent. Math., 73 (1983), 349-366. | MR 85g:11026a | Zbl 0588.14026

[H] H. Hasse, Number theory, Springer, 1980. | MR 81c:12001b | Zbl 0423.12002

[La] S. Lang, Abelian varieties, Springer, 1983. | MR 84g:14041 | Zbl 0516.14031

[LOZ] H. W. Lenstra Jr., F. Oort and Y. Zarhin, Abelian subvarieties, preprint University of Utrecht 842 (March 1994).

[MW1] D. W. Masser and G. Wüstholz, Zero estimates on group varieties II, Invent. Math., 80 (1985), 233-267. | MR 86h:11054 | Zbl 0564.10041

[MW2] D. W. Masser and G. Wüstholz, Periods and minimal abelian subvarieties, Annals of Math., 137 (1993), 407-458. | MR 94g:11040 | Zbl 0796.11023

[MW3] D. W. Masser and G. Wüstholz, Isogeny estimates for abelian varieties, and finiteness theorems, Annals of Math., 137 (1993), 459-472. | MR 95d:11074 | Zbl 0804.14019

[MW4] D. W. Masser and G. Wüstholz, Endomorphism estimates for abelian varieties, Math. Z., 215 (1994), 641-653. | MR 95b:14032 | Zbl 0826.14025

[Mu] D. Mumford, Abelian varieties, Oxford, 1974.

[P] R. S. Pierce, Associative algebras, Springer, 1982. | MR 84c:16001 | Zbl 0497.16001

[Re] I. Reiner, Maximal orders, Academic Press, 1975. | MR 52 #13910 | Zbl 0305.16001

[Ro] L. Ronyai, Zero divisors in quaternion algebras, J. Algorithms, 9 (1988), 494-506. | MR 90f:11102 | Zbl 0662.12015

[S] A. Silverberg, Fields of definition for homomorphisms of abelian varieties, J. Pure and Applied Algebra, 77 (1992), 253-262. | MR 93f:14022 | Zbl 0808.14037

[Z1] Y. Zarhin, Endomorphisms of abelian varieties and points of finite order in characteristic p, Mat. Zametki, 21 (1977), 737-744 ; Math. Notes, 21 (1977), 415-419. | Zbl 0399.14027

[Z2] Y. Zarhin, A finiteness theorem for unpolarized abelian varieties over number fields with prescribed places of bad reduction, Invent. Math., 79 (1985), 309-321. | MR 86d:14041 | Zbl 0557.14024