The supercritical deformed Hermitian Yang--Mills equation on compact projective manifolds

Aashirwad Ballal

The supercritical deformed Hermitian Yang--Mills equation on compact projective manifolds

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arxiv 2108.00876 v2 pith:LZSLXMDO submitted 2021-08-02 math.DG

Aashirwad Ballal This is my paper

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In this paper, we extend a result of Gao Chen regarding the solvability of the twisted deformed Hermitian Yang-Mills equations on compact K\"ahler manifolds to allow for the twisting function to be non-constant and slightly negative in all dimensions. Using this result, we prove that the twisted supercritical dHYM equation on compact, projective manifolds can be solved provided certain numerical conditions are satisfied.

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