| Register
\(\newcommand{\Cat}{{\rm Cat}} \) \(\newcommand{\A}{\mathcal A} \) \(\newcommand{\freestar}{ \framebox[7pt]{$\star$} }\)

4. Anti-hyperbolicity of K-moduli


    1. Add remark

      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.