2001/08/01 by Dan Edidin, Brendan Hassett, Andrew Kresch +1 · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Brauer group #Mathematics #Quotient #Surjective function #Pure mathematics #Equivalence (formal languages) #Torsion (gastropod) #Torsion subgroup #Group (periodic table) #Algebraic number #Algebra over a field #Discrete mathematics #Combinatorics #Mathematical analysis #Abelian group
paper · doi:10.1353/ajm.2001.0024
openalex publication_date 2001/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A natural question is to determine which algebraic stacks are quotient stacks. In this paper we give some partial answers and relate it to the question of whether, for a scheme X, the natural map from the Brauer group (equivalence classes of Azumaya algebras) to the cohomological Brauer group (the torsion subgroup of H 2 ( X , [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /] m )) is surjective.