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arXiv · 0910.1794

A generalization of Ross-Thomas' slope theory

Yuji Odaka
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Abstract

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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Yuji Odaka. 2011-04-15. A generalization of Ross-Thomas' slope theory. https://arxiv.org/abs/0910.1794

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