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1. K-stability of smooth Fano 3-folds


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      Problem 1.1.

      (C. Xu) Do we expect all Picard number $\rho=1$ ones to be K-semistable?


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          Problem 1.2.

          (Z. Patakfalvi) Find out the K-polystable moduli compactifications.

          (C. Xu) Especially $X_4 \subset \mathbb{P}^4$, since in this case, K-stability $\neq$ GIT stability.

          (A. Kaloghiros, Z. Zhuang, I. Cheltsov) What about K-moduli of $X_{22}$? Any candidate for the moduli? hint: look at Prokhorov’s paper.

              Cite this as: AimPL: K-stability and related topics, available at http://aimpl.org/kstability.