20/04/14 22:57:48 mIlcNUlX.net
>>69
つづき
It is entirely inconceivable that any researcher with substantial experience working with heights of rational points would attempt to prove this sort of finiteness statement by invoking such a nontrivial result as Faltings’ theorem.
Anyone familiar with the proof of Faltings’ theorem will also recognize immediately that the proof of Faltings’ theorem ultimately reduces to the elementary observation reviewed above, i.e.,
that the finiteness of the set of rational points (of, say, a proper variety) of bounded height over number fields of bounded degree follows immediately from elementary considerations, namely, from the finiteness of the set of