Problems about torsors over regular rings
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Publication:2126107
DOI10.1007/s40306-022-00477-yzbMath1495.14074arXiv2201.06424OpenAlexW4225988438MaRDI QIDQ2126107
Publication date: 14 April 2022
Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.06424
Homogeneous spaces and generalizations (14M17) Cohomology theory for linear algebraic groups (20G10) Group schemes (14L15)
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Cites Work
- Fibres formelles d'un anneau local noethérien
- On projective modules over polynomial rings
- On seminormality
- Projective modules over polynomial rings
- Rationally trivial Hermitian spaces are locally trivial
- On space filling curves and Albanese varieties.
- Extension theorems for reductive group schemes
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Topology and purity for torsors
- Algebraization and Tannaka duality
- Ferrand pushouts for algebraic spaces
- Rationally isotropic quadratic spaces are locally isotropic. II.
- Affine representability results in \(\mathbb A^1\)-homotopy theory. II: Principal bundles and homogeneous spaces
- Families of rationally simply connected varieties over surfaces and torsors for semisimple groups
- La conjecture de Gersten pour les faisceaux de Hodge-Witt logarithmique. (The Gersten conjecture for the logarithmic Hodge-Witt sheaves)
- Fibres quadratiques et composantes connexes réelles
- A proof of the Grothendieck-Serre conjecture on principal bundles over regular local rings containing infinite fields
- Twisted loop groups and their affine flag varieties. With an appendix by T. Haines and M. Rapoport.
- The Hermite ring conjecture in dimension one
- Rationally isotropic quadratic spaces are locally isotropic
- Stable trace formula: Elliptic singular terms
- Principal bundles on the affine line
- Finiteness theorems for abelian varieties over number fields.
- Principal homogeneous spaces under flasque tori; applications
- Equivariant resolution, linearization, and Hilbert's fourteenth problem over arbitrary base schemes
- The Bass-Quillen conjecture in dimension three but characteristic \(\neq 2,3\) via a question of A. Suslin
- Principal bundles on affine space and bundles on the projective line
- Projective modules over R[\(X_ 1,\)\dots ,X//n, R a Prüfer domain]
- Hodge cycles, motives, and Shimura varieties
- On the Bass-Quillen conjecture concerning projective modules over polynomial rings
- Locally trivial principal homogeneous spaces
- Locally polynomial algebras are symmetric algebras
- Quadratic forms over semilocal rings
- Gersten's conjecture for some complexes of vanishing cycles
- Motivic integration
- Purity conjecture for reductive groups
- Torsors on the affine line
- Flasque resolutions for connected reductive algebraic groups.
- Flasque resolutions of reductive group schemes
- Formulas for the unramified Brauer group of a principal homogeneous space of a linear algebraic group.
- Purity for the Brauer group
- Algebraic geometry I. Schemes. With examples and exercises
- Tannaka duality revisited
- Coherent Tannaka duality and algebraicity of Hom-stacks
- Purity of \(G_2\)-torsors
- Equivariant compactification of a torus (after Brylinski and Künnemann)
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
- Faisceaux amples sur les schémas en groupes et les espaces homogènes
- 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
- Bertini theorems over finite fields
- Éléments de géométrie algébrique. I: Le langage des schémas. II: Étude globale élémentaire de quelques classe de morphismes. III: Étude cohomologique des faisceaux cohérents (première partie)
- Affine Grassmannians of group schemes and exotic principal bundles over ${\Bbb A}^1$
- Rationally isotropic quadratic spaces are locally isotropic. III
- Purity for Pfister forms and F4-torsors with trivial g3 invariant
- Around General Neron Desingularization
- Un problème de descente
- Adequate moduli spaces and geometrically reductive group schemes
- The Brauer Group of a Commutative Ring
- On a Question of Quillen
- [https://portal.mardi4nfdi.de/wiki/Publication:3712413 On Projective R f 1 � f t -Modules]
- Polynomial rings and their projective modules
- Failure of a Quadratic Analogue of Serre's Conjecture
- THE GEOMETRY OF TORIC VARIETIES
- Some theorems on azumaya algebras
- Néron Models
- Higher algebraic K-theory: I
- Projective Modules over Laurent Polynomial Rings
- A purity theorem for the witt group
- Geometric Invariant Theory
- The Artin-Springer Theorem for quadratic forms over semi-local rings with finite residue fields
- An introduction to affine Grassmannians and the geometric Satake equivalence
- A Simple Proof of Gabber's Theorem on Projective Modules over a Localized Local Ring
- Letter to the editor: General Néron desingularization and approximation
- Pseudo-reductive Groups
- On the Grothendieck–Serre conjecture on principal bundles in mixed characteristic
- Grothendieck–Serre in the quasi-split unramified case
- Proof of the Grothendieck–Serre conjecture on principal bundles over regular local rings containing a field
- ON GROTHENDIECK–SERRE CONJECTURE CONCERNING PRINCIPAL BUNDLES
- Affine representability results in ${\mathbb A}^{1}$-homotopy theory III: Finite fields and complements
- The test function conjecture for parahoric local models
- Two purity theorems and the Grothendieck-Serre conjecture concerning principal -bundles
- On a question of Swann (with an appendix by K?stutis ?esnavi?ius)
- A step towards the mixed-characteristic Grothendieck–Serre conjecture
- Nice triples and moving lemmas for motivic spaces
- On Grothendieck–Serre’s conjecture concerning principal -bundles over reductive group schemes: I
- Projective Modules Over an Extension of a Local Ring
- 𝔸¹-connectedness in reductive algebraic groups
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