Year: 2026
Type: preprint
Abstract: Xiuxiong Chen proved the existence of $C^{1, \bar 1}$ geodesics in the space of Kähler potentials and the convexity of the $J$-functional along $C^{1, \bar 1}$ geodesics. Analogous results were proved by Collins and Yau for the hypercritical Leung--Yau--Zaslow equation. In this paper, we study a similar picture for generalised Monge--Ampère equations associated with two right-Noetherian polynomials in proper position.
Source: arXiv (Cornell University)
Authors: Chen, Gao, Ghosh, Kartick, Nie, Sijie
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212058691