• Corpus ID: 237353737

Complete intersection hyperk\"{a}hler fourfolds with respect to equivariant vector bundles over rational homogeneous varieties of Picard number one

@inproceedings{Lee2021CompleteIH,
  title={Complete intersection hyperk\"\{a\}hler fourfolds with respect to equivariant vector bundles over rational homogeneous varieties of Picard number one},
  author={Eunjeong Lee and Kyeong-Dong Park},
  year={2021}
}
We classify fourfolds with trivial canonical bundle which are zero loci of general global sections of completely reducible equivariant vector bundles over exceptional homogeneous varieties of Picard number one. As a result, we see that there exist no hyperkähler fourfolds among them. This completes similar classifications by Benedetti and Inoue–Ito–Miura for Grassmannians and isotropic (symplectic or orthogonal) Grassmannians. 
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