Logarithmic Chow semistability of polarized toric manifolds
Differential Geometry
2017-03-30 v1
Abstract
The logarithmic Chow semistability is a notion of Geometric Invariant Theory for the pair consists of varieties and its divisors. In this paper we introduce a obstruction of semistability for polarized toric manifolds and its toric divisors. As its application, we show the implication from the asymptotic log Chow semistability to the log K-semistability by combinatorial arguments. Furthermore we give a non-semistable example which has a conical Kahler Einstein metric.
Keywords
Cite
@article{arxiv.1703.09998,
title = {Logarithmic Chow semistability of polarized toric manifolds},
author = {Satoshi Nakamura},
journal= {arXiv preprint arXiv:1703.09998},
year = {2017}
}