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4. Anti-hyperbolicity of K-moduli


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      Problem 4.1.

      (Z. Patakfalvi) Assume deformation is unobstructed for some K-moduli space M, is it true that K_M should not be more positive than c \cdot \lambda_{CM} (i.e. c \cdot \lambda_{CM} - K_M ample), where c=c(\delta, \mathrm{vol})? Smooth part comes from Schumacher metrically. Estimate the geometry (e.g. Kodaria dimension) of M using \delta, \mathrm{vol}.

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