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The $K$-energy on hypersurfaces and stability

1994
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Communications in analysis and geometry
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GANG TIAN GANG TIAN singularity, then it may not be semistable. The simplest examples are those cubic surfaces in CP 3 with one singularity of type other than Ax or ^42-The K-energy is a functional on the space of admissible Kahler metrics in the Kahler class given by the polarization. It is in fact a Donaldson functional on a "virtual" holomorphic bundle and is defined in terms of the Bott-Chern class associated to the invariant polynomial Ch n+1 defining the (n+l)-th Chern Charactor (cf.

doi:10.4310/cag.1994.v2.n2.a4
fatcat:v6mfayl7gngvhk7xumn26uylmi