In this article, using a twisted version of Hörmander’s -estimate, we give new characterizations of notions of partial positivity, which are uniform -positivity and RC-positivity. We also discuss the definition of uniform -positivity for singular Hermitian metrics.
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Keywords: $L^2$-estimates, $q$-positivity, RC-positivity
Takahiro Inayama 1
@article{CRMATH_2021__359_2_169_0, author = {Takahiro Inayama}, title = {From {H\"ormander{\textquoteright}s} $L^2$-estimates to partial positivity}, journal = {Comptes Rendus. Math\'ematique}, pages = {169--179}, publisher = {Acad\'emie des sciences, Paris}, volume = {359}, number = {2}, year = {2021}, doi = {10.5802/crmath.168}, language = {en}, }
Takahiro Inayama. From Hörmander’s $L^2$-estimates to partial positivity. Comptes Rendus. Mathématique, Volume 359 (2021) no. 2, pp. 169-179. doi : 10.5802/crmath.168. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.168/
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