Grothendieck–Serre in the quasi-split unramified case (Q5072200)

scientific article; zbMATH DE number 7514104

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English	Grothendieck–Serre in the quasi-split unramified case	scientific article; zbMATH DE number 7514104

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instance of

scholarly article

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title

Grothendieck–Serre in the quasi-split unramified case (English)

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zbMATH Open document ID

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Forum of Mathematics, Pi

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publication date

25 April 2022

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full work available at URL

https://arxiv.org/abs/2009.05299

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Mathematics Subject Classification ID

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reductive group

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principal homogenous space

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torsor

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etale cohomology

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Grothendieck-Serre conjecture

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group scheme

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MaRDI profile type

MaRDI publication profile

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Adequate moduli spaces and geometrically reductive group schemes

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Affine representability results in $\mathbb A^1$-homotopy theory. II: Principal bundles and homogeneous spaces

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Affine representability results in ${\mathbb A}^{1}$-homotopy theory III: Finite fields and complements

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Rationally trivial homogeneous principal fibrations of schemes

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Rationally isomorphic Hermitian forms and torsors of some non-reductive groups

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Orders that are étale-locally isomorphic

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Q3843687

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An isomorphism problem for Azumaya algebras with involution over semilocal Bézout domains.

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Q3804918

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Variations on a theme of groups splitting by a quadratic extension and Grothendieck-Serre conjecture for group schemes $F_4$ with trivial $g_3$ invariant

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A modular description of $\mathscr X_0(n)$

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Macaulayfication of Noetherian schemes

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Q4193549

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Q4698646

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Q4357476

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Locally trivial principal homogeneous spaces

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Fibres quadratiques et composantes connexes réelles

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Principal homogeneous spaces under flasque tori; applications

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Q2945000

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Affine Grassmannians of group schemes and exotic principal bundles over ${\Bbb A}^1$

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On the Grothendieck–Serre conjecture on principal bundles in mixed characteristic

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Fibres formelles d'un anneau local noethérien

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Gersten's conjecture for some complexes of vanishing cycles

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On space filling curves and Albanese varieties.

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Torsors on the affine line

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Q3566605

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Q5632701

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Q5587673

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Q5602063

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Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné

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Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné

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Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné

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Halbeinfache Gruppenschemata über Dedekindringen

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Théoremes de Bertini et applications

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On the Bass-Quillen conjecture concerning projective modules over polynomial rings

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Un problème de descente

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Geometric Invariant Theory

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A purity theorem for the witt group

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Rationally trivial Hermitian spaces are locally trivial

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Q4671769

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Q5703053

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Rationally isotropic quadratic spaces are locally isotropic

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ON GROTHENDIECK–SERRE CONJECTURE CONCERNING PRINCIPAL BUNDLES

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Nice triples and moving lemmas for motivic spaces

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Notes on a Grothendieck-Serre conjecture in mixed characteristic case

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Proof of the Grothendieck–Serre conjecture on principal bundles over regular local rings containing a field

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

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Bertini theorems over finite fields

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Rationally isotropic quadratic spaces are locally isotropic. II.

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Rationally isotropic quadratic spaces are locally isotropic. III

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Q4396671

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On the Grothendieck-Serre conjecture concerning principal $G$-bundles over semilocal Dedekind domains

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On Grothendieck–Serre’s conjecture concerning principal -bundles over reductive group schemes: I

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Higher algebraic K-theory: I

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Principal bundles admitting a rational section

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Principal bundles on the affine line

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The Artin-Springer Theorem for quadratic forms over semi-local rings with finite residue fields

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Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux. Exposés VIII à XVIII. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3) dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint

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Q4523454

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On Knebusch's norm principle for quadratic forms over semi-local rings

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Mathematics(1 entry)

mardi Publication:5072200