no. 7
Regularity of push-forward of Monge–Ampère measures  [ Régularité par poussé en avant des mesures de Monge–Ampère ]
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 : 2019-05-24
DOI : https://doi.org/10.5802/aif.3233
Classification : 32Q15,  32W20,  32Uxx
Mots clés : variétés kähleriennes, application méromorphe, mesures de Monge–Ampère 
@article{AIF_2018__68_7_2965_0,
     author = {Di Nezza, Eleonora and Favre, Charles},
     title = {Regularity of push-forward of Monge--Amp\`ere measures},
     journal = {Annales de l'Institut Fourier},
     pages = {2965--2979},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {68},
     number = {7},
     year = {2018},
     doi = {10.5802/aif.3233},
     language = {en},
     url = {archive.numdam.org/item/AIF_2018__68_7_2965_0/}
}
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/item/AIF_2018__68_7_2965_0/

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