Year: 2026
Type: preprint
Abstract: We prove that a hyperkähler manifold of OG6 type is determined, up to isomorphism, by its integral second cohomology endowed with its Hodge structure and Beauville--Bogomolov--Fujiki form. The proof combines the monodromy and chamber theorems of Mongardi--Rapagnetta with the bimeromorphic Torelli theorem. In particular, bimeromorphic OG6 manifolds are biholomorphic.
Source: arXiv (Cornell University)
Author: Ling, Yun
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G8366729146
OpenAlex ID: W7214310301