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Hypercritical deformed Hermitian-Yang–Mills equation revisited

  • Jianchun Chu EMAIL logo and Man-Chun Lee
Published/Copyright: May 17, 2023

Abstract

In this paper, we study the hypercritical deformed Hermitian-Yang–Mills equation on compact Kähler manifolds and resolve two conjectures of Collins–Yau [Moment maps, nonlinear PDE, and stability in mirror symmetry, preprint (2018), https://arxiv.org/abs/1811.04824].

Funding statement: J. Chu was partially supported by the Fundamental Research Funds for the Central Universities, Peking University. M.-C. Lee was supported by the direct grant for research 2021/2022.

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Received: 2022-06-12
Revised: 2023-04-25
Published Online: 2023-05-17
Published in Print: 2023-08-01

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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