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An introduction is provided to some current research trends in stability in geometric invariant theory and the problem of Kaehler metrics of constant scalar curvature.
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1990
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Phong, D.H. and J. Sturm, “Scalar curvature, moment maps, and the Deligne pairing”, Amer. J. Math
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Phong, D.H. and J. Sturm, “On asymptotics for the Mabuchi energy functional”,
2004
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Phong, D.H. and J. Sturm, “The Futaki invariant and the Mabuchi energy of a complete intersection”, Commun. Anal. Geom
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Chen, X.X. and G. Tian, “Ricci flow on Kähler-Einstein manifolds”, Duke Math. J
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Phong, D.H. and J. Sturm, “On stability and the convergence of the Kähler-Ricci flow”, J. Differential Geom
2006
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Phong, D.H. and J. Sturm, “The Monge-Ampère operator and geodesics in the space of Kähler potentials”, Invent. Math
2006
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Tian, G. and Z. Zhang, “On the Kähler-Ricci flow on projective manifolds of general type”, Chinese Ann. Math. Ser. B
2006
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2007
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Phong, D.H., J. Ross, and J. Sturm, “Deligne pairings and the Knudsen-Mumford expansion”, arXiv: math.DG/0612555, to appear in J. Differential Geom. (2007)
2007
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Phong, D.H., N. Sesum, and J. Sturm, “Multiplier ideal sheaves and the Kähler-Ricci flow”, arXiv: math.DG/0611794, to appear in Commun. Anal. Geom. (2007)
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Phong, D.H., J. Song, J. Sturm, and B. Weinkove, “The Moser-Trudinger inequality on Kähler-Einstein manifolds”, arXiv: math.DG/0604076, to appear in Amer. J. Math. (2007)
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Phong, D.H. and J. Sturm, “Test configurations and geodesics in the space of Kähler potentials”, arXiv: math.DG/0606423, to appear in J. Symplectic Geometry (2007)
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Song, J. and B. Weinkove, “Energy functionals and canonical metrics”, Duke Math. J
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Tian, G. and X.H. Zhu, “Convergence of Kähler-Ricci flow”, J. Amer. Math. Soc
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