A GENERALIZATION OF THE ROSS-THOMAS SLOPE THEORY

作者：Odaka Yuji^*

来源：Osaka Journal of Mathematics, 2013, 50(1): 171-185.

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].

• 出版日期2013-3