no. 7
Regularity of push-forward of Monge–Ampère measures
Di Nezza, Eleonora1; Favre, Charles2
1 Sorbonne Université 4 Place Jussieu 75005 Paris (France)
2 CMLS, École polytechnique, CNRS, Université Paris-Saclay 91128 Palaiseau Cedex (France)
Annales de l'Institut Fourier, Volume 68 (2018) no. 7, pp. 2965-2979.

We prove that the image under any dominant meromorphic map of the Monge–Ampère measure of a Hölder continuous quasi-psh function still possesses a Hölder potential. We also discuss the case of lower regularity.

Nous démontrons que l’image par une application méromorphe dominante d’une mesure de Monge–Ampère d’une fonction quasi-psh et hölderienne possède aussi un potentiel hölderien. Nous discutons aussi le cas de régularité plus basse.

Published online:
DOI: 10.5802/aif.3233
Classification: 32Q15, 32W20, 32Uxx
Keywords: Kähler manifolds, meromorphic map, Monge–Ampère measures
Mot clés : variétés kähleriennes, application méromorphe, mesures de Monge–Ampère
Di Nezza, Eleonora 1; Favre, Charles 2

1 Sorbonne Université 4 Place Jussieu 75005 Paris (France)
2 CMLS, École polytechnique, CNRS, Université Paris-Saclay 91128 Palaiseau Cedex (France)
License: CC-BY-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Di Nezza, Eleonora; Favre, Charles. Regularity of push-forward of Monge–Ampère measures. Annales de l'Institut Fourier, Volume 68 (2018) no. 7, pp. 2965-2979. doi : 10.5802/aif.3233. https://aif.centre-mersenne.org/articles/10.5802/aif.3233/

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