[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 49 (1002ﾚｽ)

Inter-universal geometry と ABC予想 49 http://rio2016.5ch.net/test/read.cgi/math/1586650355/

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964: １３２人目の素数さん [sage] 2020/04/15(水) 07:38:11.75 ID:Rsdt7V/S >>946 >S・Sはあっさり書いているが、当然望月氏も知っているはずだろうと思って書いていたはず。 >これは“Faltings’ theorem (Shafarevich conjecture) applied to the Weil restriction”した場合の話だよ。 >Finite Weil restriction of curves レベルが高すぎて、すぐにはついていけないが その話は、引用文献の下記のことかな？ https://link.springer.com/article/10.1007/s00605-014-0711-6 Open Access Published: 03 December 2014 Finite Weil restriction of curves E. V. Flynn & D. Testa Monatshefte fur Mathematik volume 176, pages197?218(2015) (抜粋) Cases where Faltings’ theorem does not apply In this section we analyze the cases where the relative Weil restriction of a morphism of curves contains a component of geometric genus at most one. In such cases, Faltings’ theorem cannot be applied to deduce the finiteness of rational points of the relative Weil restriction and we find explicit non-tautological examples in which these sets of rational points are infinite. The following remark is an immediate consequence of Faltings’ theorem and guides the choice of cases we handle in this section. http://rio2016.5ch.net/test/read.cgi/math/1586650355/964

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