Global Torelli theorem for irreducible symplectic orbifolds
Algebraic Geometry
2020-01-14 v3
Abstract
We propose a generalization of Verbitsky's global Torelli theorem in the framework of compact K\"ahler irreducible holomorphically symplectic orbifolds by adapting Huybrechts' proof (arXiv:1106.5573). As intermediate step needed, we also provide a generalization of the twistor space and the projectivity criterion based on works of Campana (arXiv:math/0402243) and Huybrechts (arXiv:math/0106014) respectively.
Cite
@article{arxiv.1805.12426,
title = {Global Torelli theorem for irreducible symplectic orbifolds},
author = {Grégoire Menet},
journal= {arXiv preprint arXiv:1805.12426},
year = {2020}
}
Comments
23 pages, final version to appear in Journal de Math\'ematiques pures et appliqu\'ees