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arXiv · 2003.06004

On the definition of irreducible holomorphic symplectic manifolds and their singular analogs

Martin Schwald
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Abstract

In the definition of irreducible holomorphic symplectic manifolds the condition of being simply connected can be replaced by vanishing irregularity. We discuss finite quotients X of complex tori where the space of reflexive 2-forms is generated by a holomorphic symplectic form, and their Lagrangian fibrations. Neither X nor the base can be smooth unless X is a 2-torus.

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Martin Schwald. 2020-03-12. On the definition of irreducible holomorphic symplectic manifolds and their singular analogs. https://arxiv.org/abs/2003.06004

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