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- W3197454857 abstract "We show that the categorical action of the shifted q=0 affine algebra can be used to construct semiorthogonal decomposition on the weight categories. In particular, this construction recovers Kapranov's exceptional collection when the weight categories are the derived categories of coherent sheaves on Grassmannians and n-step partial flag varieties. Finally, as an application, we use this result to construct a semiorthogonal decomposition on the derived categories of coherent sheaves on Grassmannians of a coherent sheaf with homological dimension ≤1 over a smooth projective variety X." @default.
- W3197454857 created "2021-09-13" @default.
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- W3197454857 date "2023-10-01" @default.
- W3197454857 modified "2023-10-05" @default.
- W3197454857 title "Semiorthogonal decomposition via categorical action" @default.
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- W3197454857 doi "https://doi.org/10.1016/j.jalgebra.2023.08.041" @default.
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