Year: 2026
Type: preprint
Abstract: We construct a universal affine bundle $E$ over a compact complex manifold $X$ equipped with a probability measure $μ$, which is affine over the vector space $H_{1,1}(X;\mathbb{R})$, and satisfies a number of natural properties. The bundle $E$ carries a natural action of the automorphism group of $(X,μ)$, and provides potentials for all $dd^c$-closed $(1,1)$-forms on $X$. We relate our construction to lifts of the action of the automorphism group of a Calabi--Yau manifold to its universal torsor.
Source: arXiv (Cornell University)
Authors: Filip, Simion, Tosatti, Valentino
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7167575701
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