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- W2969480261 abstract "Raphaël Rouquier introduced an invariant of triangulated categories which is known as Rouquier dimension. Orlov conjectured that for any smooth quasi-projective variety X the Rouquier dimension of $$D^{textrm{b}}_{textrm{coh}}(X)$$ is equal to $$textrm{dim}, X$$ . In this note we show that some blow-ups of projective spaces satisfy Orlov’s conjecture. This includes a blow-up of $${mathbb {P}}^2$$ in nine arbitrary distinct points, or a blow-up of three distinct points lying on an exceptional divisor of a blow-up of $${mathbb {P}}^3$$ in a line. In particular, our method gives an alternative proof of Orlov’s conjecture for del Pezzo surfaces, first established by Ballard and Favero." @default.
- W2969480261 created "2019-08-29" @default.
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- W2969480261 date "2023-05-24" @default.
- W2969480261 modified "2023-10-18" @default.
- W2969480261 title "Rouquier dimension of some blow-ups" @default.
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- W2969480261 doi "https://doi.org/10.1007/s40879-023-00639-8" @default.
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