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arXiv · 2107.13192

Hypercritical deformed Hermitian-Yang-Mills equation

Jianchun Chu·Man-Chun Lee
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Abstract

In this work, we study the deformed Hermitian-Yang-Mills equation on compact K\"ahler manifold. We introduce the notions of coerciveness and properness of the $\mathcal{J}$-functional on the space of almost calibrated $(1,1)$-forms and show that they are both equivalent to the existence of solutions to the hypercritical deformed Hermitian-Yang-Mills equation.

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Jianchun Chu, Man-Chun Lee. 2021-07-28. Hypercritical deformed Hermitian-Yang-Mills equation. https://arxiv.org/abs/2107.13192

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