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arXiv · 2008.08287

From Hörmander's $L^2$-estimates to partial positivity

Takahiro Inayama
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Abstract

In this article, using a twisted version of Hörmander's $L^2$-estimate, we give new characterizations of notions of partial positivity, which are uniform $q$-positivity and RC-positivity. We also discuss the definition of uniform $q$-positivity for singular Hermitian metrics.

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Takahiro Inayama. 2020-12-16. From Hörmander's $L^2$-estimates to partial positivity. https://arxiv.org/abs/2008.08287

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