A generalization of Ross-Thomas' slope theory

Details A generalization of Ross-Thomas' slope theory A generalization of Ross-Thomas' slope theory

2009-10-09

arxiv.org/abs/0910.1794v5

Mathematics

Algebraic Geometry

15 pages. v2-4:minor changes, v5:re-edited (the latter half moved to arXiv:0807.1716 v5)

Scientific paper

We give a formula of the Donaldson-Futaki invariants for certain type of semi test configurations, which essentially generalizes Ross-Thomas' slope theory. The positivity (resp. non-negativity) of those "a priori special" Donaldson-Futaki invariants implies K-stability (resp. K-semistability). We show its applicability by proving K-(semi)stability of certain polarized varieties with semi-log-canonical singularities, generalizing some results by Ross-Thomas.

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