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arXiv · 2304.05480

Groups acting on moduli spaces of hyper-K\"ahler manifolds

Francesca Rizzo
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Abstract

The period morphism of polarized hyper-K\"ahler manifolds of K3$^{[m]}$-type gives an embedding of each connected component of the moduli space of polarized hyper-K\"ahler manifolds of K3$^{[m]}$-type into their period space, which is the quotient of a Hermitian symmetric domain by an arithmetic group. Following work of Stellari and Gritsenko-Hulek-Sankaran, we study the ramification of covering maps between these period spaces that arise from the action of some groups of isometries.

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Francesca Rizzo. 2023-04-11. Groups acting on moduli spaces of hyper-K\"ahler manifolds. https://arxiv.org/abs/2304.05480

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