Global Torelli theorem for irreducible symplectic orbifolds

2018/05/31 by Menet, Grégoire · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1805.12426

Abstract

We propose a generalization of Verbitsky's global Torelli theorem in the framework of compact Kähler 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.

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• The Cone Conjecture for Primitive Symplectic Varieties over a Field of Characteristic Zero and an Application

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