The Faltings-Moriwaki modular height and isogenies of elliptic curves
Ikoma, Hideaki
J. Math. Kyoto Univ., Tome 48 (2008) no. 4, p. 661-682 / Harvested from Project Euclid
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We estimate the variation of the Faltings-Moriwaki modular height under isogenies of elliptic curves. In particular, we reprove the Faltings finiteness theorem for elliptic curves over fields of finite type over $\mathbb{Q}$. Our approach is \lq\lqeffective\rq\rq in the sence that we generalize Raynaud's upper bound to higher dimensional cases.
Publié le : 2008-05-15
Classification:  
@article{1250271389,
     author = {Ikoma, Hideaki},
     title = {The Faltings-Moriwaki modular height and isogenies of elliptic curves},
     journal = {J. Math. Kyoto Univ.},
     volume = {48},
     number = {4},
     year = {2008},
     pages = { 661-682},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250271389}
}

Ikoma, Hideaki. The Faltings-Moriwaki modular height and isogenies of elliptic curves. J. Math. Kyoto Univ., Tome 48 (2008) no. 4, pp.  661-682. http://gdmltest.u-ga.fr/item/1250271389/