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Modular formModuli of algebraic curvesRiemannian geometryModular groupAbelian varietyCartan decompositionComplex lie groupEuclidean groupCohomology ringModuli spaceModularity theoremSpectrum of a ringDedekind zeta functionFundamental groupCongruence relationComplete varietyIsometry groupGeometric group theoryAlgebraic torusDifferential geometry of surfacesLie bracket of vector fieldsCovering groupSymmetric spaceSecond fundamental formProjective linear groupProjective unitary groupEquivariant cohomologyEquivariant sheafShimura varietyConic sectionHolomorphic vector bundleLatticeOrthogonal groupRiemann surfaceGraph of a functionLie algebra representationAdjoint representationTangential and normal componentsAutomorphism groupLinear algebraic groupSymplectic manifoldRiemann curvature tensorMusical isomorphismModular multiplicative inverseAdjunction formulaSmash productComplexificationDual spaceToric varietyIdeal class groupCotangent bundleGalois cohomologyAffine groupRiemannian manifoldCohomologyRegular representationGyrationSpecial linear groupTangent spaceCongruenceAutomorphic formIsogenyPontryagin dualityRiemann zeta functionPicard groupComplemented subspaceQuadricCategory of modulesHolomorphic functionHyperbolaCongruence subgroupModulusSubspace topologyParametrizationCompact groupArithmetic groupLefschetz hyperplane theoremDual curveCanonical bundleDe rham cohomologyFinite morphismGroup representationFoliationMapping class groupSectional curvaturePrincipal curvatureJacobian varietyCheeger constantIndefinite orthogonal groupCubic plane curveArgumentRelative homologyPoisson manifoldTrigonometric functionsAlgebraic groupHomogeneous spaceQuotient ringHyperelliptic curveEuclidean topologyTopological graph