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Hypercritical deformed Hermitian-Yang-Mills equation revisited

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arxiv 2206.00387 v1 pith:HWSTOEK5 submitted 2022-06-01 math.DG

Jianchun Chu , Man-Chun Lee This is my paper · ORCID
classification math.DG
keywords deformedequationhermitian-yang-millshypercriticalahlercollins-yaucompactconjectures
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In this paper, we study the hypercritical deformed Hermitian-Yang-Mills equation on compact K\"ahler manifolds and resolve two conjectures of Collins-Yau.

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  1. Deformed Hermitian-Yang-Mills equation on the manifold of full flags

    math.DG 2026-07 accept novelty 7.0 of 10

    First irreducible rank-2 dHYM connections are constructed on the full flag manifold F₂, and rank-1 solutions outside the supercritical regime disprove conjectured stability conditions.

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