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Class field theoryRing of integersAdelic algebraic groupAlgebraic number fieldRing theoryAlgebraic number theoryEuclidean domainLatticeFrobenius endomorphismModulusGalois groupCartan decompositionFinite fieldPolynomial ringPrimitive element theoremPrime elementStickelberger's theoremRinged spaceCyclotomic fieldMinkowski spaceField normDivision ringFinite field arithmeticArchimedean propertyQuotient ringArtinian ringUnique factorization domainRingArithmetic combinatoricsFundamental group schemeGeometric algebraDifferential algebraConstructible universeCommutative algebraAlgebraic varietyLiouville field theoryExponential sheaf sequenceMatrix ringAnalytic number theoryIdeal class groupIntegral domainDifferential graded algebraIntersection theoryNoetherian ringGraded ringNumber theoryHopf fibrationAxiom of extensionalityFundamental groupDedekind domainFieldMapping class groupCasimir elementEquivariant cohomologyRiemannian geometryCoherent sheafAlgebraic k-theoryGeometric flowModuleClass number formulaDarboux's theoremFinite ringCoarea formulaAlgebraic torusAnabelian geometryDiophantine geometryGrassmann numberP-adic hodge theoryHypercomplex numberIdealCharacteristicCenterAlgebraic closureDrinfeld moduleNoncommutative geometryArithmetic groupFrobenius algebraC*-algebraAlgebraic analysisNoncommutative algebraic geometryK-theoryEuler classLegendre transformationNewton polygonComplex geometryModuli spaceEnumerative geometryAlgebraic integerHenselian ringP-adic analysisRicci flowTopological quantum field theoryGlobal analysisAlgebraic combinatoricsBell triangleDifferential topologyCantor spaceSupersingular isogeny graphLattice field theoryGeneralized conic