Purity for the Brauer group

DOI10.1215/00127094-2018-0057zbMath1430.14047arXiv1711.06456OpenAlexW3104984180WikidataQ127834485 ScholiaQ127834485MaRDI QIDQ2002634

Kęstutis Česnavičius

Publication date: 12 July 2019

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.06456

zbMATH Keywords

étale cohomologypurityBrauer groupperfectoid ringpunctured spectrum

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Rigid analytic geometry (14G22) Brauer groups of schemes (14F22) Brauer groups (algebraic aspects) (16K50)

Related Items (13)

Extending torsors on the punctured \(\operatorname{Spec}(A_{\operatorname{inf}})\) ⋮ Problems about torsors over regular rings ⋮ Degree 2 cohomological invariants of linear algebraic groups ⋮ Strong linkage for function fields of surfaces ⋮ Evaluating the wild Brauer group ⋮ A VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRAS ⋮ Brauer group of moduli stack of stable parabolic PGL(r)-bundles over a curve ⋮ Brauer groups and étale homotopy type ⋮ The cohomological Brauer group of weighted projective spaces and stacks ⋮ On unramified Brauer groups of torsors over tori ⋮ Unramified cohomology of quadrics in characteristic two ⋮ The Brauer group of the moduli stack of elliptic curves ⋮ The \(\text{K}\)-theory of perfectoid rings

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