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Koszul complexSerre spectral sequenceCoherent sheafHurewicz theoremLefschetz hyperplane theoremRelative homologyAlgebraic geometryHomological algebraFenchel's duality theoremDarboux's theoremEquivariant cohomologySpectrumIntersection theoryCartan decompositionSimple homotopy theorySheaf cohomologyScheme theoryAdjunction formulaGalois cohomologySegre embeddingBirational geometryEuler's theoremStickelberger's theoremLog structureVarignon's theoremExcision theoremGraph homologyOckham algebraCatalan solidGroup cohomologySymplectic geometryHodge theoryHarnack's curve theoremClosed-subgroup theoremCorrelationAlgebraic subvarietyExponential sheaf sequenceFundamental groupNeukirch-uchida theoremAlgebraic graph theoryHodge conjectureAlgebraic number theoryChow groupEuler classAlgebraic varietySchur multiplierMorera's theoremMorphism of algebraic varietiesAlgebraic analysisLinear logicNullstellensatzKhovanov homologyGeometric topologyMapping class groupSymplectomorphismPythagorean theoremClass field theoryAlgebraic groupDual systemDe rham cohomologyHilbert schemeAlexander dualitySchubert calculusExterior algebraDivisorIsogenyAlgebraic topologyCohomologyPlancherel theoremModuli of algebraic curvesHomographyDirichlet's unit theoremSperner's lemmaSimplicial homologyIsomorphism theoremsK-stabilityCylindric algebraRational pointGalois connectionGerbeChromatic polynomialMorse homologyGalois theoryHecke algebraSchur decompositionInjective sheafCauchy surfaceCellular homologyHodge structureDifferential topologyGeometric algebraNoncommutative algebraic geometryPolyconvexityDiophantine geometryOrthogonalityCalabi conjectureLocal quantum field theoryMiquel's theoremAlgebraic combinatoricsCombinatorial commutative algebra