# Curvature operator of holomorphic vector bundles and $L^2$-estimate condition for $(p,q)$-forms

@inproceedings{Watanabe2021CurvatureOO, title={Curvature operator of holomorphic vector bundles and \$L^2\$-estimate condition for \$(p,q)\$-forms}, author={Yuta Watanabe}, year={2021} }

We study the positivity properties of the curvature operator for holomorphic Hermitian vector bundles. The characterization of Nakano semi-positivity by L-estimate is already known. Applying our results, we give new characterizations of Nakano semi-negativity.

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