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- W4287758049 abstract "We study admissible subcategories of derived categories of coherent sheaves on del Pezzo surfaces and rational elliptic surfaces. Using a relation between admissible subcategories and anticanonical divisors we prove the following results. First, we classify all admissible subcategories of the projective plane by showing that each is generated by a subcollection of a full exceptional collection. Second, we show that the derived categories of del Pezzo surfaces do not contain any phantom subcategories. This provides first examples of varieties of dimension larger than one that have some nontrivial admissible subcategories, but provably do not contain phantoms. We also prove that any admissible subcategory supported set-theoretically on a smooth (-1)-curve in a surface is generated by some twist of the structure sheaf of that curve." @default.
- W4287758049 created "2022-07-26" @default.
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- W4287758049 date "2020-06-13" @default.
- W4287758049 modified "2023-09-26" @default.
- W4287758049 title "Admissible subcategories of del Pezzo surfaces" @default.
- W4287758049 doi "https://doi.org/10.48550/arxiv.2006.07643" @default.
- W4287758049 hasPublicationYear "2020" @default.
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