Papers&Preprints

• Mabuchi's soliton metric and relative D-stability.
  PDF arXiv
• Geometric flow, Multiplier ideal sheaves and Optimal destabilizer for a Fano manifold.
  PDF arXiv
• The inverse Monge-Ampère flow and applications to Kähler-Einstein metrics. To appear in Jour. Differential Goemetry.
  This is a joint work with T. C. Collins and R. Takahashi.
  PDF arXiv
• Stability and coercivity for toric polarizations.
  PDF arXiv
• Orthogonal projection of a test configuration to vector fields.
  PDF arXiv
• Uniform K-stability and asymptotics of energy functionals in Kähler geometry. To appear in J. Eur. Math. Soc..
  This is a joint work with S. Boucksom and M. Jonsson.
  PDF arXiv
• Uniform K-stability, Duistermaat-Heckman measures and singularities of pairs. Ann. Inst. Fourier (Grenoble) 67 no. 2 (2017), 743-841.
  This is a joint work with S. Boucksom and M. Jonsson.
  PDF arXiv
• On the limit of spectral measures associated to a test configuration of a polarized Kähler manifold. J. Reine Angew. Math. 713 (2016), 129--148.
  Journal PDF arXiv
• On the volume of graded linear series and Monge Ampère mass. Math. Z. 275 (2013), 233--243.
  Journal PDF arXiv
• Remarks on $L^2$-jet extension and extension of singular Hermitian metric with semipositive curvature.
  PDF arXiv
• Restricted Bergman kernel asymptotics. Trans. Amer. Math. Soc. 364 (2012), 3585-3607.
  Journal PDF arXiv