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7. K-semistability of fibration


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      Problem 7.1.

      (K. Fujita) Let $X \to Y$ be a smooth morphism between smooth Fano varieties. If $X$ is K-stable or K-semistable, does it hold for $Y$?


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          Problem 7.2.

          (Z. Patakfalvi) Under the same assumption, is the general fiber K-semistable?

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