2020•arXiv (Cornell University)Open access
On the definition of irreducible holomorphic symplectic manifolds and\n their singular analogs
Martin Schwald
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Abstract
In the definition of irreducible holomorphic symplectic manifolds the\ncondition of being simply connected can be replaced by vanishing irregularity.\nWe discuss finite quotients X of complex tori where the space of reflexive\n2-forms is generated by a holomorphic symplectic form, and their Lagrangian\nfibrations. Neither X nor the base can be smooth unless X is a 2-torus.\n
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