A generalization of the Ross--Thomas slope theory

Yuji Odaka

doi:ojm/1364390425

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Home > Journals > Osaka J. Math. > Volume 50 > Issue 1 > Article

March 2013 A generalization of the Ross--Thomas slope theory

Yuji Odaka

Osaka J. Math. 50(1): 171-185 (March 2013).

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Abstract

We give a formula for the Donaldson--Futaki invariants of certain type of semi test configurations, which essentially generalizes the Ross--Thomas slope theory [28]. The positivity (resp. non-negativity) of those ``a priori special'' Donaldson--Futaki invariants implies K-stability (resp. K-semistability). As an application, we prove the K-(semi)stability of certain polarized varieties with semi-log-canonical singularities, which generalizes some results of [28].