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math.DG2014
Alpha invariants and coercivity of the Mabuchi functional on Fano manifolds
Ruadhaí Dervan
We give a criterion for the coercivity of the Mabuchi functional for general Kähler classes on Fano manifolds in terms of Tian's alpha invariant. This generalises a result of Tian…
math.DG2014
Uniform stability of twisted constant scalar curvature Kähler metrics
Ruadhaí Dervan
We introduce a norm on the space of test configurations, which we call the minimum norm. We conjecture that uniform K-stability with respect to this norm is equivalent to the exist…