2020/09/10 by Grégoire Menet, Menet, Grégoire, Ulrike Rieß +1
Mathematics · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Advanced Algebra and Geometry
paper · pdf · doi:10.48550/arxiv.2009.04873
We generalize the Hodge version of the global Torelli theorem in the framework of irreducible symplectic orbifolds. We also propose a generalization of several results related to the Kähler cone and the notion of wall divisors introduced in the smooth case by Mongardi. As an application we propose a definition of the mirror symmetry as an involution on a moduli space; this construction is also new in the smooth case.