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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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Autore principale: Inayama, Takahiro
Natura: Artigo
Lingua:Inglês
Pubblicazione: Académie des sciences 2021-03-01
Serie:Comptes Rendus. Mathématique
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Accesso online:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.168/
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