@article{CM_1995__97_3_349_0, author = {Poonen, Bjorn}, title = {Local height functions and the {Mordell-Weil} theorem for {Drinfeld} modules}, journal = {Compositio Mathematica}, pages = {349--368}, publisher = {Kluwer Academic Publishers}, volume = {97}, number = {3}, year = {1995}, mrnumber = {1353279}, zbl = {0839.11024}, language = {en}, url = {http://www.numdam.org/item/CM_1995__97_3_349_0/} }
TY - JOUR AU - Poonen, Bjorn TI - Local height functions and the Mordell-Weil theorem for Drinfeld modules JO - Compositio Mathematica PY - 1995 SP - 349 EP - 368 VL - 97 IS - 3 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1995__97_3_349_0/ LA - en ID - CM_1995__97_3_349_0 ER -
Poonen, Bjorn. Local height functions and the Mordell-Weil theorem for Drinfeld modules. Compositio Mathematica, Volume 97 (1995) no. 3, pp. 349-368. http://www.numdam.org/item/CM_1995__97_3_349_0/
1 Big projective modules are free, Illinois J. of Math. 7 (1963) 24-31. | MR | Zbl
,2 Géométrie diophantienne sur les modules de Drinfeld, in: D. Goss, D. R. Hayes and M. I. Rosen (eds.) The Arithmetic of Function Fields, de Gruyter, Berlin (1992). | MR | Zbl
,3 Hauteurs canoniques et modules de Drinfeld, Math. Ann. 294 (1992) 213-223. | MR | Zbl
,4 Elliptic modules, Math. USSR Sb., 23 (1974) 561- 592. | Zbl
,5 Infinite Abelian Groups, Vol. 1. Academic Press, New York (1970). | MR | Zbl
,6 A brief introduction to Drinfeld modules, in: D. Goss, D. R. Hayes and M. I. Rosen (eds.) The Arithmetic of Function Fields, de Gruyter, Berlin (1992). | MR | Zbl
,7 Basic Algebra II, W. H. Freeman, San Francisco (1980). | MR | Zbl
,8 The Čebotarev density theorem for function fields: an elementary approach, Math. Ann. 261 (1982) 467-475. | MR | Zbl
,9 Infinite Abelian Groups, University of Michigan Press, Ann Arbor (1969). | MR | Zbl
,10 Modules over Dedekind rings and valuation rings, Trans. Amer. Math. Soc. 72 (1952) 327-340. | MR | Zbl
,