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A Strong Global Torelli theorem for OG6 type varieties
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.
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BibTeX
@misc{ling2026strong,
title = {{A Strong Global Torelli theorem for OG6 type varieties}},
author = {Yun Ling},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.28939},
eprint = {2609.28939},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.28939},
}
RIS
TY - UNPB
TI - A Strong Global Torelli theorem for OG6 type varieties
AU - Yun Ling
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.28939
UR - https://arxiv.org/abs/2609.28939
AB - 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.
ER -