Post-Cutoff.com
  1. Home
  2. Posts
  3. Japanese algebraic geometer lists the release's…

Japanese algebraic geometer lists the release's algebraic-geometry claims (Hodge for CM abelian varieties, Fujita, Nagata, MMP…)

Kiwamu Watanabe (渡邉究) @Kiwamu_Watanabe · x · 2026-10-06 · ★★ · archived

Open the original ↗

An algebraic geometer's reading (~70k views) of the release's claims in his field, including Hodge for CM abelian varieties.

Summary

Posted 23:58 UTC in Japanese. Watanabe (algebraic geometry, Chuo University, per his bio) says that even the algebraic geometry alone is "quite amazing" (かなりすごい), while noting he does not know whether it is correct (あっているかは分からないけど). He lists claimed resolutions: generalized Mukai conjecture, Fujita's freeness conjecture, Nagata's conjecture, log abundance, termination of 4-dimensional MMP, the Campana–Peternell conjecture (dimension 6), the LeBrun–Salamon conjecture, and the Hodge conjecture for CM abelian varieties. ~70k views.

Archived text

OpenAIが公開した数学論文群、代数幾何だけ見てもかなりすごい⬇️あっているかは分からないけど。 ・一般化向井予想 ・Fujitaの自由性予想 ・Nagata予想 ・log abundance ・4次元MMPの停止 ・Campana–Peternell予想(6次元) ・LeBrun–Salamon予想 ・CMアーベル多様体のHodge予想 などの解決を主張している。

Quoting @Kiwamu_Watanabe: 数学の722本の論文を公開。100以上のlong-standing open problemを解決とのこと。まさかの私が取り組んでいた generalized Mukai conjecture も解けたとか言ってるんですけど。 それどころか log abundance と Fujita 予想も解いたとか言ってる...。LeBrun–Salamon conjecture も。

views 81369 · likes 314 · reposts 72 · replies 6 (at fetch time)

Archived 2026-10-07 via fxtwitter (unofficial).

Related events

All posts · id: 2026-10-06-kiwamu-watanabe-algebraic-geometry-claims