SilentDingo771

Member since 25 Aug 2026

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On The $(3,4,\infty)$ Modular Family of 2-Tori as a Complex Structure on $S^6$ · 02 Sep 2026, 08:52 UTC
I have my doubts on this 2022 article, since it seems to assume that the set of complex structures on S^6 is path connected which is not obvious. Also it now seems to me that there is indeed an error in CDP, where they reduce the calculation of the cohomology group of a sheaf to that of it's quotient by the torsion which seems not quite accurate. still looking forward to digest of all of this....
On The $(3,4,\infty)$ Modular Family of 2-Tori as a Complex Structure on $S^6$ · 25 Aug 2026, 13:36 UTC
Just to be cautious there are still some huge uncertenties about this proof since it contradicts a major paper of Campana Demailly Peternell. There has been a lot of proofs about the complex structure on S^6 which turned out to be false. Indeed the signficance is much higher than 65/100 which begs much caution.

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