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The inverse Monge--Ampère flow on klt Fano varieties
Abstract
We establish the long time existence of the inverse Monge--Ampère flow on a klt ℚ-Fano variety X. We further prove that X admits a Kähler--Einstein metric if and only if the flow converges in L1.
Related
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- Quadratic growth rigidity for the complex Monge--Ampère equation
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BibTeX
@misc{chu2026inverse,
title = {{The inverse Monge--Ampère flow on klt Fano varieties}},
author = {Jianchun Chu and Tamás Darvas and Yaxiong Liu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36414},
eprint = {2610.36414},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36414},
}
RIS
TY - UNPB
TI - The inverse Monge--Ampère flow on klt Fano varieties
AU - Jianchun Chu
AU - Tamás Darvas
AU - Yaxiong Liu
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.36414
UR - https://arxiv.org/abs/2610.36414
AB - We establish the long time existence of the inverse Monge--Ampère flow on a klt ℚ-Fano variety X. We further prove that X admits a Kähler--Einstein metric if and only if the flow converges in L^1.
ER -