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Admissible subcategories of noncommutative curves (2312.06967v2)
Published 12 Dec 2023 in math.AG, math.CT, and math.RT
Abstract: We study admissible subcategories of the derived categories of smooth noncommutative curves as classified by Reiten-van den Bergh. We prove phantom subcategories do not exist in these derived categories and we obtain a complete classification of the admissible subcategories of the bounded derived category of representations of an acyclic quiver.
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