no. 7
Regularity of push-forward of Monge–Ampère measures
[Régularité par poussé en avant des mesures de Monge–Ampère]
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, Tome 68 (2018) no. 7, pp. 2965-2979.

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.

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.

Publié le :
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) 
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Di Nezza, Eleonora; Favre, Charles. Regularity of push-forward of Monge–Ampère measures. Annales de l'Institut Fourier, Tome 68 (2018) no. 7, pp. 2965-2979. doi : 10.5802/aif.3233. http://archive.numdam.org/articles/10.5802/aif.3233/

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