Admissible subcategories of del Pezzo surfaces
نویسندگان
چکیده
We study admissible subcategories of derived categories coherent sheaves on del Pezzo surfaces and rational elliptic surfaces. Using a relation between anticanonical divisors we prove the following results. First, classify all projective plane by showing that each is generated subcollection full exceptional collection. Second, show do not contain any phantom subcategories. This provides first examples varieties dimension larger than one have some nontrivial subcategories, but provably phantoms. also subcategory supported set-theoretically smooth (−1)-curve in surface twist structure sheaf curve.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2023
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2023.109046