Two purity theorems and the Grothendieck-Serre conjecture concerning principal -bundles

DOI10.1070/SM9393zbMath1460.14099arXiv1707.01763OpenAlexW3073431972MaRDI QIDQ5150234

I. A. Panin

Publication date: 10 February 2021

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01763

zbMATH Keywords

reductive group schemesprincipal bundlesGrothendieck-Serre conjecturepurity theorems

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Linear algebraic groups over finite fields (20G40) Cohomology theory for linear algebraic groups (20G10) Group schemes (14L15) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (4)

Problems about torsors over regular rings ⋮ Grothendieck–Serre in the quasi-split unramified case ⋮ Nice triples and the Grothendieck-Serre conjecture concerning principal G-bundles over reductive group schemes ⋮ On the Grothendieck–Serre conjecture on principal bundles in mixed characteristic

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