• 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}
}
• Published 14 December 2019
• Mathematics
• arXiv: Algebraic Geometry
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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