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arXiv · 1812.09748

The global moduli theory of symplectic varieties

Benjamin Bakker·Christian Lehn
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Abstract

We develop the global moduli theory of symplectic varieties in the sense of Beauville. We prove a number of analogs of classical results from the smooth case, including a global Torelli theorem. In particular, this yields a new proof of Verbitsky's global Torelli theorem in the smooth case (assuming $b_2\geq 5$) which does not use the existence of a hyperk\"ahler metric or twistor deformations.

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Benjamin Bakker, Christian Lehn. 2018-12-23. The global moduli theory of symplectic varieties. https://doi.org/10.1515/crelle-2022-0033

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