Differential graded Brauer groups over dg-rings

Fuente: arXiv
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Autores principales: Xu, Xiaoxiao, Zimmermann, Alexander
Formato: Preprint
Publicado: 2026
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author Xu, Xiaoxiao
Zimmermann, Alexander
author_facet Xu, Xiaoxiao
Zimmermann, Alexander
contents We define a Brauer group for differential graded algebras over differential graded graded-commutative or commutative base rings. Based on previous work we give an explicit classification of dg-fields, and compute the so-defined Brauer group in each case explicitly.
format Preprint
id arxiv_https___arxiv_org_abs_2604_08069
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Differential graded Brauer groups over dg-rings
Xu, Xiaoxiao
Zimmermann, Alexander
Rings and Algebras
Primary: 16E45, Secondary: 12F99, 16K50, 16W50
We define a Brauer group for differential graded algebras over differential graded graded-commutative or commutative base rings. Based on previous work we give an explicit classification of dg-fields, and compute the so-defined Brauer group in each case explicitly.
title Differential graded Brauer groups over dg-rings
topic Rings and Algebras
Primary: 16E45, Secondary: 12F99, 16K50, 16W50
url https://arxiv.org/abs/2604.08069