# Stability conditions and moduli spaces for Kuznetsov components of Gushel-Mukai varieties

@article{Perry2019StabilityCA, title={Stability conditions and moduli spaces for Kuznetsov components of Gushel-Mukai varieties}, author={Alexander Perry and Laura Pertusi and Xiaolei Zhao}, journal={arXiv: Algebraic Geometry}, year={2019} }

We prove the existence of Bridgeland stability conditions on the Kuznetsov components of Gushel-Mukai varieties, and describe the structure of moduli spaces of Bridgeland semistable objects in these categories in the even-dimensional case. As applications, we construct a new infinite series of unirational locally complete families of polarized hyperkahler varieties of K3 type, and characterize Hodge-theoretically when the Kuznetsov component of an even-dimensional Gushel-Mukai variety is…

## 20 Citations

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