現代数学の系譜11 ガロア理論を読む6
508 ：現代数学の系譜11 ガロア理論を読む：
>>507
で、Theorem 1.10 from Mochizuki's IUTT-IVに反例があり、成り立っていないと言っているみたい
http://mathoverflow.net/questions/106560/philosophy-behind-mochizukis-work-on-the-abc-conjecture/107279#107279
Completely rewritten. (9/26) edited yesterday Vesselin Dimitrov
It seems indeed that nothing like Theorem 1.10 from Mochizuki's IUTT-IV could hold.
Here is an infinite set of counterexamples, assuming for convenience two standard conjectures (the first being in fact a consequence of ABC), that contradict Thm. 1.10 very badly.
略
で、Theorem 1.10 from Mochizuki's IUTT-IVに反例があり、成り立っていないと言っているみたい
http://mathoverflow.net/questions/106560/philosophy-behind-mochizukis-work-on-the-abc-conjecture/107279#107279
Completely rewritten. (9/26) edited yesterday Vesselin Dimitrov
It seems indeed that nothing like Theorem 1.10 from Mochizuki's IUTT-IV could hold.
Here is an infinite set of counterexamples, assuming for convenience two standard conjectures (the first being in fact a consequence of ABC), that contradict Thm. 1.10 very badly.
略
|
|
|