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The $J$-Null Locus and Local Regularity of Weak Solutions of the Semistable $J$-Equation
For the semistable $J$-equation, we prove that the numerical $J$-null locus coincides with the ambient $C^2$-singular locus of Murakami's weak solution. Consequently, this singular locus is a proper analytic subset with finitely many irreducible components, and the weak solution is locally smooth ou
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