Revision #483 → #995 · back to history
addedAffine algebraic plane curve7df7bfe634e6
addedProjective algebraic plane curve1f10af4956ff
addedIrreducible plane algebraic curve96946e0adc7c
addedComponents of a curve4b0acb0bc332
addedAlgebraic curve353ce6fea865
addedAlgebraic curve via birational equivalenceb9f7317c2d46
addedSpace curve1c4043b6bfec
addedAlgebraic curve in the Euclidean planeef7f72bd8314
addedDecomposition into monotone arcs9aa004628c57
addedSmooth monotone arc (branch)681141d697b8
addedTschirnhausen cubic6fff2be19c34
addedSinusoid is not algebraic59576bb12c3e
addedPlane projective curve14d2d000749c
addedProjective completion197c5f37c059
addedProjective completion of unit circle54933342ac53
addedDerivative at infinity8ebd22bd0830
addedLine meets curve in at most d points63fd766dbaef
addedBézout's theoremd61ebf7364c8
addedMultiplicity of an intersection pointcd86dce119f0
addedIntersection point at infinity6fe765020686
addedTangent at a point61cd1a612f76
addedSingular point (undefined tangent)3414a610e6f7
addedTangent in projective case22ef7d0244ff
addedInfinite branch and point at infinityf5b86988d845
addedAsymptote1977620cc812
addedAsymptotic direction76dca6864386
addedParabolic branch622c951cace0
addedSingular points systeme46898720676
addedBound (d−1)² on singular points04f2f95f021a
addedSharp bound d(d−1)/265212fcdb4d3
addedBound for irreducible curves8c7a2854b3b3
addedTangents and multiplicity at singular point6a0149af256e
addedBranches near a singular point9d433f07edfd
addedCoordinate analytic near regular pointc636735d8ec5
addedPuiseux factorizationf3cd40852478
addedConjugate branch and ramification indexcc93e46b1757
addedReal curve casesfa3dd9a4e608
addedOrdinary cusp branch6ca028958231
addedAffine curve needs n−1 polynomialse7eb02e25264
addedBirational representation of non-plane curve170557c27a0e
addedCurves and function fields equivalenced6093323973b
addedAlgebraic function field46814cea6e98
addedElliptic function fieldb013ba5c4037
addedCurve with no real points6970c5a7efc7
addedIsomorphism of nonsingular curvesc0aed6c0d06f
addedTsen's theorem680ec0ef5e5a
addedComplex projective curve is compact, connected, orientable1608ea1d31b0
addedAlgebraic curve over C is a surfacecf93304038f6
addedTopological genus equals geometric genusbdc53fa5298f
addedRiemann surfacea4f694fdeca9
addedTriple equivalence of categories5b10c1fab20b
addedSmooth vs singular pointd688f65e252b
addedSingular points of plane projective curvec7f18a417440
addedSingularities not birational invariants4e0780d432b9
addedCusp x³=y²24d45c9055a1
addedFinitely many singular pointsde92ee4e1a37
addedSmooth (non-singular) curve84a5de03d29e
addedMultiplicityb3e84745828d
addedDelta invariant78fc4db4b4c1
addedMilnor numberbb5ca74aa886
addedMilnor–Jung formula0d8849b336e1
addedBranching numberd362f814d665
addedInequalities m≥r and singular iff m≥2e465ca8894c1
addedGenus formulaeadd19be9b88
addedInvariants of ordinary singularities1d2a68167124
addedRational curve44f2150346df
addedRational curve equals genus zero960576c60411
addedRational normal curvee2dcdd93b290
addedConic with rational point is rationale5cbbfe6a55f
addedEllipse rational parameterizationcbfeb83f751e
addedRational plane curved779b4973d73
addedModuli space of stable curvesc239129656ad
addedCounting rational plane curves (Gromov–Witten)bce1910afa72
addedElliptic curve4e12984f52ef
addedWeierstrass form397311194c26
addedGroup structure on elliptic curve1b48efee757a
addedThree points collinear iff sum zero70c04116bf8a
addedGroup isomorphic to C modulo lattice2a3d71eb9a92
addedIntersection of two quadricsceb079a29e26
addedFaltings' theorembdbee5c13393
addedGenus greater than one examples636dada2728b
addedGenus of projective plane curve0cab66ce9395
addedSmooth genus curveded0844ecf63
addedNon-example: union of rational curvesfc833d130036
addedGenus of curve in product of projective lines6bff44d101bc
addedAny genus constructible09180899114a