• Corpus ID: 209376165

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… 
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