Residual categories for (co)adjoint Grassmannians in classical types

@article{Kuznetsov2021ResidualCF,
  title={Residual categories for (co)adjoint Grassmannians in classical types},
  author={Alexander Kuznetsov and Maxim Smirnov},
  journal={Compositio Mathematica},
  year={2021},
  volume={157},
  pages={1172 - 1206}
}
In our previous paper we suggested a conjecture relating the structure of the small quantum cohomology ring of a smooth Fano variety of Picard number 1 to the structure of its derived category of coherent sheaves. Here we generalize this conjecture, make it more precise, and support it by the examples of (co)adjoint homogeneous varieties of simple algebraic groups of Dynkin types $\mathrm {A}_n$ and $\mathrm {D}_n$, that is, flag varieties $\operatorname {Fl}(1,n;n+1)$ and isotropic orthogonal… 
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A G ] 1 6 Ju l 2 02 1 ON THE DERIVED CATEGORY OF THE ADJOINT GRASSMANNIAN OF TYPE
  • Mathematics
  • 2021
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