Principal bundles on the affine line

DOI10.1007/BF02840656zbMath0587.14007MaRDI QIDQ1072604

M. S. Raghunathan, A. Ramanathan

Publication date: 1984

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

principal bundlegroup schemereductive algebraic grouppull-backaffine lineseparable closure of ground field

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Special algebraic curves and curves of low genus (14H45) Fiber bundles in algebraic topology (55R10)

Related Items

Problems about torsors over regular rings, Locally trivial principal homogeneous spaces and conjugacy theorems for Lie algebras, On some finiteness properties of algebraic groups over finitely generated fields, Algebraic dynamics of skew-linear self-maps, Derivations of certain algebras defined by étale descent, Grothendieck–Serre in the quasi-split unramified case, Principal bundles on affine space and bundles on the projective line, Principal bundles over the projective line, Jordan algebras and \(F_4\) bundles over the affine plane, The \(R\)-equivalence on reductive algebraic groups defined over a global field, Strong A1${\mathbb {A}}^1$‐invariance of A1${\mathbb {A}}^1$‐connected components of reductive algebraic groups, Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction, \(\mathbb{A}^1\)-connected components of classifying spaces and purity for torsors, Linear algebraic groups with good reduction, Isotriviality and étale cohomology of Laurent polynomial rings, Locally trivial principal homogeneous spaces, Uniqueness of embeddings of the affine line into algebraic groups, On Grothendieck–Serre’s conjecture concerning principal -bundles over reductive group schemes: I, Spinor groups with good reduction, Isotriviality of torsors over Laurent polynomial rings, Principal bundles on the projective line., Principal bundles admitting a rational section

Cites Work

• Reductive groups on a local field. II. Groups schemes. Existence of valuated root datum
• Deformations of principal bundles on the projective line
• Cohomologie galoisienne. Cours au Collège de France, 1962--1963. 3ième éd.
• Regular elements of semisimple algebraic groups
• Semisimple group schemes over complete curves
• Rationality properties of linear algebraic groups. II
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
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