Corpus ID: 236034502

On the derived category of the adjoint Grassmannian of type F

  title={On the derived category of the adjoint Grassmannian of type F},
  author={Maxim Smirnov},
We construct a full rectangular Lefschetz collection in the derived category of the adjoint Grassmannian in type F4. This gives the first example of a full exceptional collection on this variety and also proves a conjecture due to Alexander Kuznetsov and the author that relates the structure of the derived category of coherent sheaves to the small quantum cohomology in the case of adjoint non-coadjoint varieties. 
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  • Alexander Kuznetsov
  • Mathematics
  • 2021
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