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Supercritical deformed Hermitian-Yang-Mills equation
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Supercritical deformed Hermitian-Yang-Mills equation
classification
math.DG
math-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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