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

Takahiro Inayama

doi:10.5802/crmath.168

Géométrie analytique

From Hörmander’s

L^{2}

-estimates to partial positivity

Takahiro Inayama ¹

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

Résumé

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.

Reçu le : 2020-09-19
Accepté le : 2020-12-13
Accepté après révision le : 2020-12-14
Publié le : 2021-03-17

DOI : 10.5802/crmath.168

Classification : 32U05
Keywords: $L^2$-estimates, $q$-positivity, RC-positivity

Affiliations des auteurs :

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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     author = {Takahiro Inayama},
     title = {From {H\"ormander{\textquoteright}s} $L^2$-estimates to partial positivity},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {169--179},
     year = {2021},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {2},
     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

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