scientific article

From MaRDI portal
Publication:2732562

zbMath0972.14015MaRDI QIDQ2732562

Alexei N. Skorobogatov

Publication date: 26 July 2001


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items (only showing first 100 items - show all)

Cyclic length in the Brauer group of a p-adic elliptic curveNoninvariance of weak approximation with Brauer–Manin obstruction for surfacesSingular Localization and Intertwining Functors for Reductive Lie Algebras in Prime CharacteristicThe étale Brauer-Manin obstruction to strong approximation on homogeneous spacesRational Points on Diagonal Cubic SurfacesUnnamed ItemSome remarks on strong approximation and applications to homogeneous spaces of linear algebraic groupsLéclaté du plan projectif en quatre points dont deux conjuguÉsStrong approximation over function fieldsAverage Bateman–Horn for Kummer polynomialsSymbol length in Brauer groups of elliptic curvesUne liste de problèmesThe elliptic sieve and Brauer groupsBrauer-Manin obstructions on hyperelliptic curvesEvaluating the wild Brauer groupOdd torsion Brauer elements and arithmetic of diagonal quartic surfaces over number fieldsOn analogs of Cassels-Tate's exact sequence for connected reductive groups and Brauer-Manin obstruction for homogeneous spaces over global function fieldsWeak approximation versus the Hasse principle for subvarieties of abelian varietiesNon-invariance of the Hasse principle with Brauer-Manin obstructionBrauer-Manin obstruction for zero-cycles on certain varietiesNon-rational varieties with the Hilbert PropertyCorrigendum to: ``The Brauer group and the Brauer-Manin set of products of varietiesArithmetic of Châtelet surface bundles revisitedArithmetic purity of strong approximation for complete toric varietiesArithmetic of Châtelet surfaces under extensions of base fieldsNoninvariance of weak approximation properties under extension of the ground fieldForms of del Pezzo surfaces of degree $5$ and $6$Arithmetics of homogeneous spaces over p$p$‐adic function fieldsStrong Approximation with Brauer–Manin Obstruction for Toric VarietiesUnnamed ItemOn the improved blow-up criterion for the 2D zero diffusivity Boussinesq equations with temperature-dependent viscosityCox rings over nonclosed fieldsComposite images of Galois for elliptic curves over $\mathbf {Q}$ and entanglement fieldsComparing descent obstruction and Brauer-Manin obstruction for open varietiesPlane quartics with a Galois-invariant Steiner hexadUnnamed ItemQuelques propriétés d’approximation reliées à la cohomologie galoisienne d’un groupe algébrique finiA note on the Brauer group and the Brauer–Manin set of a productHOMOGENEOUS SPACE FIBRATIONS OVER SURFACESBrauer–Manin obstruction and families of generalised Châtelet surfaces over number fieldsApproximation forte pour les variétés avec une action d’un groupe linéaireGroupe de Brauer non ramifié de quotients par un groupe finiMorphisms to Brauer–Severi Varieties, with Applications to Del Pezzo SurfacesArithmetic of K3 SurfacesGood reduction of the Brauer–Manin obstructionZéro-cycles de degré 1 sur les solides de PoonenOn abelian birational sectionsTate-Shafarevich groups and $K3$ surfacesLa conjecture de Manin pour une famille de variétés en dimension supérieureThe arithmetic of certain quartic curvesOn the fibration method for zero-cycles and rational pointsGeneralized Jacobians and explicit descentsLe principe de Hasse pour les espaces homogènes : réduction au cas des stabilisateurs finisOn the genera of semisimple groups defined over an integral domain of a global function fieldDel Pezzo surfaces over finite fields and their Frobenius tracesObstructions de Brauer-Manin enti\`eres sur les espaces homog\`enes \`a stabilisateurs finis nilpotentsCubic Twin Prime Polynomials are Counted by a Modular FormFinite descent obstruction for Hilbert modular varietiesDescent Obstruction and Fundamental Exact SequencePathologies of the Brauer-Manin obstructionMinimal fields of definition for Galois actionThe Brauer group of torsors and its arithmetic applications.Local-global principle for 0-cycles on fibrations over rationally connected basesDescent on certain Shimura curvesEvaluation of Brauer elements over local fieldsNumber fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg)Improved rank bounds from 2-descent on hyperelliptic JacobiansIndex of fibrations and Brauer classes that never obstruct the Hasse principleImaginary quadratic points on toric varieties via universal torsorsExhibiting SHA[2 on hyperelliptic Jacobians] ⋮ Progress concerning the local-global principle for zero-cycles on algebraic varietiesIntegral points on affine quadric surfacesBad places for the approximation property for finite groupsGalois sections for abelianized fundamental groupsIterating the algebraic étale-Brauer setTwists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\)Divisibility results for zero-cyclesRational points of rationally simply connected varieties over global function fieldsVery strong approximation for certain algebraic varietiesRepresentations of Weil-Deligne groups and Frobenius conjugacy classesDistinguishing division algebras by finite splitting fields.On integral points on degree four del Pezzo surfacesThe Grunwald problem and approximation properties for homogeneous spacesUnramified Brauer group of homogeneous spaces with finite stabilizerFinite descent obstruction for curves over function fieldsEvaluating Azumaya algebras on cubic surfacesSchinzel hypothesis on average and rational pointsOn the flat cohomology of binary norm formsEffectivity of Brauer-Manin obstructions on surfacesFailure of the Hasse principle for Enriques surfacesFailure of the Hasse principle for Châtelet surfaces in characteristic 2On the number of Mordell-Weil generators for cubic surfacesArithmetic of del Pezzo surfaces of degree 4 and vertical Brauer groupsThe unramified Brauer group of norm one toriOdd order Brauer-Manin obstruction on diagonal quartic surfacesIntegral points on conic log K3 surfacesLocal-global principles for 1-motivesBrauer groups of diagonal quartic surfacesAnticanonical codes from del Pezzo surfaces with Picard rank oneZéro-cycles sur les espaces homogènes et problème de Galois inverse




This page was built for publication: