From Hörmander’s $L^2$-estimates to partial positivity
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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| Format: | Article |
| Language: | English |
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Académie des sciences
2021-03-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.168/ |