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Gang Huang

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Preprint Jul 2026

Siu's curvature positivity and $L^2$ extension theorems for $(p,q)$-forms

In this paper, we introduce Siu's curvature operator $A^E_{p,q}$ for vector-bundle-valued differential forms on K\"ahler manifolds. When $p=n$, this operator reduces to the classical Akizuki--Nakano curvature operator. We first characterize the semipositivity of $A^E_{p,q}$ in terms of an optimal $L^2$-estimate c...

Gang Huang · 0 citations