12/09/08 09:22:43.62
>>353
>[4] Inter-universal Teichmuller Theory IV: Log-volume Computations and Set-theoretic Foundations. PDF
はいはい、ABC
この[4]のP3に
”Theorem A. (Diophantine Inequalities)”があって、その直後に
”Thus, Theorem A asserts an inequality concerning the canonical height [i.e.,“htωX(D)”],
the logarithmic different [i.e., “log-diffX”], and the logarithmic conductor
[i.e., “log-condD”] of points of the curve UX valued in number fields whose
extension degree over Q is ? d . In particular, the so-called Vojta Conjecture for
hyperbolic curves, the ABC Conjecture, and the Szpiro Conjecture for elliptic
curves all follow as special cases of Theorem A. We refer to [Vjt] for a detailed
exposition of these conjectures. ”
望月先生、ご苦労さまです