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arXiv · 1309.2821

The J-flow and stability

Mehdi Lejmi·Gábor Székelyhidi
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Abstract

We study the J-flow from the point of view of an algebro-geometric stability condition. In terms of this we give a lower bound for the natural associated energy functional, and we show that the blowup behavior found by Fang-Lai is reflected by the optimal destabilizer. Finally we prove a general existence result on complex tori.

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Mehdi Lejmi, Gábor Székelyhidi. 2013-09-11. The J-flow and stability. https://arxiv.org/abs/1309.2821

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