Supercritical deformed Hermitian-Yang-Mills equation

Gao Chen

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Supercritical deformed Hermitian-Yang-Mills equation

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arxiv 2005.12202 v1 pith:R4OC25YB submitted 2020-05-25 math.DG math-phmath.CVmath.MPmath.SG

Gao Chen This is my paper · ORCID

classification math.DGmath-phmath.CVmath.MPmath.SG

keywords deformedequationhermitian-yang-millssupercriticalcalabi-yauconditionconfirmsconjecture

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In this paper, we provide a necessary and sufficient condition for the solvability of the supercritical deformed Hermitian-Yang-Mills equation using integrals on subvarieties. This result confirms the mirror version of the Thomas-Yau conjecture about special Lagrangian submanifolds on Calabi-Yau manifolds.

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