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arXiv · 2110.13631

On Chow stability and balanced embeddings

Ho Leung Fong
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Abstract

An important result of Zhang states that for a projective variety, the existence of a balanced embedding is equivalent to Chow stability. In this paper, we shall prove that Chow stability implies that a balanced embedding exists via the continuity method. Our proof is conditional on a technical hypothesis about restrictions of Hamiltonians to subschemes of projective space.

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Ho Leung Fong. 2021-10-22. On Chow stability and balanced embeddings. https://arxiv.org/abs/2110.13631

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