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Antieau, Benjamin; Elmanto, Elden

Descent for semiorthogonal decompositions. (English) Zbl 1467.14049

Adv. Math. 380, Article ID 107600, 38 p. (2021).
Summary: We prove descent theorems for semiorthogonal decompositions using techniques from derived algebraic geometry. Our methods allow us to capture more general filtrations of derived categories and even marked filtrations, where one descends not only admissible subcategories but also preferred objects.

Cited in 2 Documents

MSC:

14F08 Derived categories of sheaves, dg categories, and related constructions in algebraic geometry
14F22 Brauer groups of schemes
14M17 Homogeneous spaces and generalizations
18G80 Derived categories, triangulated categories

Keywords:

derived categories; semiorthogonal decompositions; twisted forms; descent
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Full Text: DOI arXiv

References:

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