Revision #283 → #1541 · back to history
addedRiemann surface (lead)f3859a78371d
addedGraphs of multivalued functionsfc13cd5d05a9
addedReal manifold admits complex structure iff orientable and metrizable959fcafd1dae
addedCompact Riemann surface is a complex algebraic curveb013a407c82f
addedRiemann surface as complex manifold of dimension onede909d9999cc
addedRiemann surface via conformal structureb790ec559259
addedComplex structure induces conformal structure872e617e2d24
addedComplex plane7078c8a9b0e9
addedOpen subset of complex plane05b5d8d2a01d
addedOpen subset of a Riemann surface0b4918638420
addedRiemann sphere5387b6874c1f
addedTorus / elliptic curves64f2d21e1702
addedNon-compact surfaces from analytic continuation49efb7e56a86
addedVanishing locus of a polynomial208fd7eeb0e5
addedEvery elliptic curve is an algebraic curveb6963c778b42
addedHyperelliptic surfaces of higher genusfcd7fbbd78fb
addedHolomorphic map between Riemann surfacesd7efe5f64230
addedComposition of holomorphic maps is holomorphic654168740a53
addedBiholomorphic / conformally equivalent surfacesbf08c07f7340
addedRiemann surfaces are orientableafcd63e9b64c
addedNon-compact surfaces admit non-constant holomorphic functionsdaa93231fc61
addedNon-compact Riemann surface is a Stein manifold6647a172445d
addedHolomorphic functions on compact surfaces are constant4a0a3194cd07
addedExistence of non-constant meromorphic functionsde4acf4bb23e
addedFunction field is a finite extensionc8de203dae34
addedCompact Riemann surfaces are algebraic curves941db30c080c
addedCompact Riemann surface is a projective variety8f1253dbd475
addedEmbedding into complex projective 3-spacec0dfca120fcf
addedTorus, Weierstrass function and elliptic curve5d0d5af272a0
addedThree-fold geometric classificationbe1862a64d8d
addedPoincaré–Koebe uniformization theorem1ec4544405d9
addedElliptic / parabolic / hyperbolic by universal coverdbc5ff3b29e4
addedRiemann sphere is the only elliptic surface0d6cba8fd391
addedClassification of parabolic surfaces7e8acb2f8060
addedThree topological types: plane, cylinder, toruse0b2d287fec8
addedHyperbolic surface as quotient by Fuchsian groupef5994cd35e7
addedTopological types of hyperbolic surfaces42391137b66b
addedCompact hyperbolic surface classified by genus3578bde696c8
addedConstraints on maps between geometric types4c0fa0451851
addedLiouville and Little Picard constancy5e4200ca1536
addedType of punctured spheresef1a7dfddf54
addedCompact surfaces map only to lower genus5773be6d5fb3
addedNon-constant maps are ramified coverings6dc1fdde1416
addedHyperbolic surfaces cover the sphered29ec5306992
addedIsometry group reflects geometry1e87101da236
addedHurwitz's automorphisms theorem boundeb3838a311c9
addedEvery finite group is an isometry groupebc8f6c0d912
addedGenus 2 Bolza surfacecc49a153995c
addedGenus 3 Klein quartic53b484156fbe
addedGenus 4 Bring's surface86644b2cf851
addedGenus 7 Macbeath surfaced98ff5cebd34
addedFunction-theoretic parabolic/hyperbolic78f63f2afd8f
addedSubclasses of hyperbolic surfaces2f8662d6f1b5
addedDisk: parabolic vs hyperbolic classificationsf1f7cfda7972