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arXiv · 2009.04873

On the Kähler cone of irreducible symplectic orbifolds

Grégoire Menet·Ulrike Rieß
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Abstract

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.

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Grégoire Menet, Ulrike Rieß. 2025-05-26. On the Kähler cone of irreducible symplectic orbifolds. https://arxiv.org/abs/2009.04873

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