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arXiv · 1703.09998

Logarithmic Chow semistability of polarized toric manifolds

Satoshi Nakamura
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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.

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Satoshi Nakamura. 2017-03-29. Logarithmic Chow semistability of polarized toric manifolds. https://arxiv.org/abs/1703.09998

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