Regularity of push-forward of Monge–Ampère measures

Eleonora Di Nezza; Charles Favre

doi:10.5802/aif.3233

Regularity of push-forward of Monge–Ampère measures

Eleonora Di Nezza
, Charles Favre

Sorbonne Université

Research output: Contribution to journal › Article › peer-review

Abstract

— 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.

Original language	English
Pages (from-to)	2965-2979
Number of pages	15
Journal	Annales de l'Institut Fourier
Volume	68
Issue number	7
DOIs	https://doi.org/10.5802/aif.3233
Publication status	Published - 1 Jan 2018

Keywords

Kähler manifolds
Meromorphic map
Monge–Ampère measures

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title = "Regularity of push-forward of Monge–Amp{\`e}re measures",

abstract = "— We prove that the image under any dominant meromorphic map of the Monge–Amp{\`e}re measure of a H{\"o}lder continuous quasi-psh function still possesses a H{\"o}lder potential. We also discuss the case of lower regularity.",

keywords = "K{\"a}hler manifolds, Meromorphic map, Monge–Amp{\`e}re measures",

author = "\{Di Nezza\}, Eleonora and Charles Favre",

note = "Publisher Copyright: {\textcopyright} Association des Annales de l{\textquoteright}institut Fourier, 2018",

year = "2018",

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doi = "10.5802/aif.3233",

language = "English",

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T1 - Regularity of push-forward of Monge–Ampère measures

AU - Di Nezza, Eleonora

AU - Favre, Charles

N1 - Publisher Copyright: © Association des Annales de l’institut Fourier, 2018

PY - 2018/1/1

Y1 - 2018/1/1

N2 - — 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.

AB - — 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.

KW - Kähler manifolds

KW - Meromorphic map

KW - Monge–Ampère measures

U2 - 10.5802/aif.3233

DO - 10.5802/aif.3233

M3 - Article

AN - SCOPUS:85084420507

SN - 0373-0956

VL - 68

SP - 2965

EP - 2979

JO - Annales de l'Institut Fourier

JF - Annales de l'Institut Fourier

IS - 7

ER -

Regularity of push-forward of Monge–Ampère measures

Abstract

Keywords

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