Descent for semiorthogonal decompositions

Benjamin Antieau; Elden Elmanto

doi:10.1016/j.aim.2021.107600

Descent for semiorthogonal decompositions

Benjamin Antieau, Elden Elmanto^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English (US)
Article number	107600
Journal	Advances in Mathematics
Volume	380
DOIs	https://doi.org/10.1016/j.aim.2021.107600
State	Published - Mar 26 2021

Keywords

Derived categories
Descent
Semiorthogonal decompositions
Twisted forms

ASJC Scopus subject areas

General Mathematics

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10.1016/j.aim.2021.107600

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title = "Descent for semiorthogonal decompositions",

abstract = "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.",

keywords = "Derived categories, Descent, Semiorthogonal decompositions, Twisted forms",

author = "Benjamin Antieau and Elden Elmanto",

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year = "2021",

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doi = "10.1016/j.aim.2021.107600",

language = "English (US)",

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AU - Antieau, Benjamin

AU - Elmanto, Elden

PY - 2021/3/26

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N2 - 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.

AB - 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.

KW - Derived categories

KW - Descent

KW - Semiorthogonal decompositions

KW - Twisted forms

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VL - 380

JO - Advances in Mathematics

JF - Advances in Mathematics

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Descent for semiorthogonal decompositions

Abstract

Keywords

ASJC Scopus subject areas

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