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Morphism of algebraic varietiesAlgebraic groupAlgebraic subvarietyIsogenyNormal schemeToric varietyFinite morphismAbelian varietyHolomorphic vector bundleProjectionHomology sphereComposition algebraHomographyCorrespondenceAlgebraic closureAlgebra homomorphismInitial and terminal objectsRational pointModuli of algebraic curvesCohomology ringAlgebraic varietyHomogeneous relationCovering groupFano varietyEquivariant sheafMorphismMultilinear formSequentially compact spacePushforwardCofibrationProjective representationAdjunction formulaCorrelationModuli spaceAlgebra over a fieldGeometric transformationIntersection theoryTopological propertyProjective geometryInverse semigroupAffine groupCanonical mapProper morphismSegre embeddingMetrizable spaceHomomorphismExact coverHermitian connectionSymplectomorphismCompletion of a ringHomogeneous spacePartial functionEdge-transitive graphFibrationComplete metric spaceDual curveInvertible sheafRing of integersGeometric topologyTransitive setMonoidTangent bundleCovariantSubmanifoldHyperelliptic curveContravariantIntegral curveGeneralized inverseIncidence algebraCotangent complexEuclidean topologyMapping class groupCotangent bundlePlane curveCategory of topological spacesLefschetz hyperplane theoremComparison of topologiesGroup homomorphismProjective varietySymmetric graphIsometry groupRegular spaceRelative homologyBirational geometryOpen and closed mapsGeometryField of definitionCompact-open topologyContact geometryInclusion functionInvariant manifoldSymmetric spaceSurjective functionIitaka dimensionHolomorphic functionOrthogonal complementFundamental groupAlgebraically closed fieldAlgebraic geometryIsometry