Comptes Rendus
Géométrie analytique
From Hörmander’s L 2 -estimates to partial positivity
Takahiro Inayama1
1 Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan
Comptes Rendus. Mathématique, Volume 359 (2021) no. 2, pp. 169-179.

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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DOI : 10.5802/crmath.168
Classification : 32U05
Mots clés : $L^2$-estimates, $q$-positivity, RC-positivity
Takahiro Inayama 1

1 Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {From {H\"ormander{\textquoteright}s} $L^2$-estimates to partial positivity},
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     pages = {169--179},
     publisher = {Acad\'emie des sciences, Paris},
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     number = {2},
     year = {2021},
     doi = {10.5802/crmath.168},
     language = {en},
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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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