Wikipedia:WikiProject Mathematics/PlanetMath Exchange/14-XX Algebraic geometry

14-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

 * PM: affine space, id=1121 -- WP: affine space -- Status: A
 * Jtwdog 21:35, 26 September 2005 (UTC)


 * PM: affine variety, id=1123 -- WP: affine variety -- Status: A
 * Jtwdog 21:35, 26 September 2005 (UTC)


 * PM: dual isogeny, id=3226 -- WP: dual isogeny -- Status: M
 * Jtwdog 21:35, 26 September 2005 (UTC)
 * Juliusross 19:25, 14 May 2006 (UTC)


 * PM: example of quasi-affine variety that is not affine, id=5729 -- WP: quasi-affine variety -- Status: N
 * Jtwdog 15:31, 18 October 2005 (UTC)
 * Probably not needed in WP Juliusross 18:18, 14 May 2006 (UTC)


 * PM: finite morphism, id=3199 -- WP: finite morphism -- Status: M
 * Juliusross 18:35, 14 May 2006 (UTC)


 * PM: isogeny, id=3206 -- WP: elliptic curve -- Status: M
 * Jtwdog 21:35, 26 September 2005 (UTC)


 * PM: line bundle, id=4104 -- WP: line bundle -- Status: A
 * Jtwdog 21:35, 26 September 2005 (UTC)


 * PM: nonsingular variety, id=1117 -- WP: nonsingular variety -- Status: A
 * Jtwdog 15:34, 18 October 2005 (UTC)


 * PM: Picard group, id=3216 -- WP: Picard group -- Status: A
 * Jtwdog 21:35, 26 September 2005 (UTC)


 * PM: projective space, id=1122 -- WP: projective space -- Status: A
 * Jtwdog 15:31, 18 October 2005 (UTC)


 * PM: projective variety, id=1124 -- WP: projective variety -- Status: A
 * Jtwdog 15:31, 18 October 2005 (UTC)


 * PM: quasi-finite morphism, id=3207 -- WP: quasi-finite morphism -- Status: A
 * Jtwdog 15:31, 18 October 2005 (UTC)


 * PM: variety, id=5730 -- WP: algebraic variety -- Status: A
 * Jtwdog 15:31, 18 October 2005 (UTC)


 * PM: affine space, id=7013 -- WP guess: affine space -- Status:


 * PM: algebraic geometry, id=5722 -- WP guess: algebraic geometry -- Status: NM


 * PM: algebraic manifold, id=7518 -- WP guess: algebraic manifold -- Status: A


 * PM: analytic algebraic function, id=7517 -- WP guess: analytic algebraic function -- Status: NM


 * PM: bibliography for algebraic geometry, id=5682 -- WP guess: bibliography for algebraic geometry -- Status: ?

14A10 Varieties and morphisms

 * PM: algebraic map, id=4641 -- WP: algebraic variety -- Status: NM
 * Jtwdog 15:48, 18 October 2005 (UTC)


 * PM: algebraic sets and polynomial ideals, id=3513 -- WP: Nullstellensatz -- Status: A
 * Jtwdog 15:48, 18 October 2005 (UTC)

Juliusross 15:54, 14 May 2006 (UTC)
 * PM: alternate characterizations of the noetherian condition, id=5724 -- WP: noetherian topological space -- Status: A


 * PM: BÃ©zout's theorem (Algebraic Geometry), id=6188 -- WP: Bézout's theorem -- Status: A
 * Jtwdog 15:48, 18 October 2005 (UTC)


 * PM: irreducible, id=1109 -- WP: irreducible component -- Status: M
 * Juliusross 18:47, 14 May 2006 (UTC)


 * PM: irreducible component, id=3107 -- WP: irreducible component -- Status: M
 * Juliusross 15:49, 14 May 2006 (UTC)

Juliusross 15:49, 14 May 2006 (UTC)
 * PM: noetherian topological space, id=3465 -- WP: noetherian topological space -- Status: M


 * PM: regular map, id=1125 -- WP: algebraic variety -- Status: NM
 * Jtwdog 15:48, 18 October 2005 (UTC)


 * PM: structure sheaf, id=2903 -- WP: structure sheaf -- Status: A
 * Jtwdog 16:23, 6 October 2005 (UTC)


 * PM: Zariski topology, id=2899 -- WP: Zariski topology -- Status: NM
 * This wikipedia article is not in the best of shape. It really needs clean-up more than merging. Jtwdog 16:23, 6 October 2005 (UTC)


 * PM: ind-variety, id=7383 -- WP guess: ind-variety -- Status:


 * PM: isomorphism of varieties, id=6838 -- WP guess: algebraic variety -- Status: M
 * Juliusross 23:06, 14 May 2006 (UTC)


 * PM: proof of alternate characterizations of the noetherian condition, id=7274 -- WP guess: proof of alternate characterizations of the noetherian condition -- Status: N


 * PM: countable algebraic sets, id=7696new! -- WP guess: countable algebraic sets -- Status:


 * PM: lemma on projection of countable sets, id=7700new! -- WP guess: lemma on projection of countable sets -- Status:

14A15 Schemes and morphisms

 * PM: closed immersion, id=3165 -- WP guess: closed immersion -- Status: A
 * Jtwdog 15:57, 18 October 2005 (UTC)
 * Juliusross 23:09, 14 May 2006 (UTC)


 * PM: coherent sheaf, id=4596 -- WP: coherent sheaf -- Status: A
 * Jtwdog 18:46, 17 October 2005 (UTC)


 * PM: example of fibre product, id=5558 -- WP guess: example of fibre product -- Status: N
 * Jtwdog 15:57, 18 October 2005 (UTC)


 * PM: example of functor of points of a scheme, id=5612 -- WP: functor of points -- Status: NM
 * Jtwdog 15:57, 18 October 2005 (UTC)
 * Just my opinion this should be Status: N Juliusross 23:14, 14 May 2006 (UTC)


 * PM: fibre product, id=3142 -- WP: fibre product -- Status: A
 * Jtwdog 18:46, 17 October 2005 (UTC)


 * PM: flat morphism, id=5614 -- WP: flat morphism -- Status: A
 * Jtwdog 18:46, 17 October 2005 (UTC)


 * PM: general linear group scheme, id=5617 -- WP: general linear group -- Status: NM
 * Jtwdog 18:46, 17 October 2005 (UTC)


 * PM: group scheme, id=5616 -- WP: group scheme -- Status: A
 * Jtwdog 18:46, 17 October 2005 (UTC)


 * PM: group scheme of multiplicative units, id=5567 -- WP: group scheme of multiplicative units -- Status: NM
 * Jtwdog 18:46, 17 October 2005 (UTC)


 * PM: locally ringed space, id=2890 -- WP: locally ringed space -- Status: A
 * Jtwdog 18:46, 17 October 2005 (UTC)


 * PM: morphism of schemes induces a map of points, id=5610 -- WP guess: morphism of schemes induces a map of points -- Status: N
 * Jtwdog 15:57, 18 October 2005 (UTC)


 * PM: prime spectrum, id=2898 -- WP: prime spectrum -- Status: A
 * Jtwdog 18:46, 17 October 2005 (UTC)


 * PM: scheme, id=3122 -- WP: scheme -- Status: A
 * Jtwdog 18:46, 17 October 2005 (UTC)


 * PM: separated scheme, id=3166 -- WP: separated scheme -- Status: A
 * Jtwdog 15:57, 18 October 2005 (UTC)


 * PM: singular set, id=3852 -- WP: singular set -- Status: A
 * Juliusross 23:17, 14 May 2006 (UTC)


 * PM: Étalé morphism, id=5559 -- WP guess: étale morphism -- Status: NC
 * Jtwdog 18:46, 17 October 2005 (UTC)


 * PM: V(I)=\emptyset implies I=R, id=8199new! -- WP guess: V(I)=\emptyset implies I=R -- Status:


 * PM: proof that \operatorname{Spec}(R) is quasi-compact, id=8198new! -- WP guess: proof that \operatornameSpec(R) is quasi-compact -- Status:

14A20 Generalizations (algebraic spaces, stacks)

 * PM: bivector, id=6538 -- WP guess: bivector -- Status: A
 * Jtwdog 15:58, 18 October 2005 (UTC)

14A25 Elementary questions

 * PM: Segre map, id=5917 -- WP: Segre map -- Status: A
 * Jtwdog 16:01, 18 October 2005 (UTC)

14A99 Miscellaneous

 * PM: ample, id=4622 -- WP: ample -- Status: A
 * Jtwdog 16:16, 18 October 2005 (UTC)


 * PM: Cartier divisor, id=4617 -- WP: Cartier divisor -- Status: A
 * Jtwdog 16:16, 18 October 2005 (UTC)


 * PM: general position, id=4262 -- WP: general position -- Status: A
 * Jtwdog 16:16, 18 October 2005 (UTC)


 * PM: height of a prime ideal, id=3146 -- WP: height of a prime ideal -- Status: NM
 * Jtwdog 16:16, 18 October 2005 (UTC)


 * PM: invertible sheaf, id=4619 -- WP: invertible sheaf -- Status: A
 * Jtwdog 16:16, 18 October 2005 (UTC)


 * PM: locally free, id=4618 -- WP: locally free sheaf -- Status: M
 * Jtwdog 16:16, 18 October 2005 (UTC)


 * PM: normal irreducible varieties are nonsingular in codimension 1, id=3853 -- WP: normal variety -- Status: NM
 * Jtwdog 16:16, 18 October 2005 (UTC)


 * PM: Serre's twisting theorem, id=4623 -- WP: ample -- Status: NM
 * Jtwdog 16:16, 18 October 2005 (UTC)


 * PM: sheaf of meromorphic functions, id=4614 -- WP guess: locally ringed space -- Status: NM
 * Jtwdog 16:16, 18 October 2005 (UTC)


 * PM: very ample, id=4621 -- WP: very ample -- Status: A
 * Jtwdog 16:16, 18 October 2005 (UTC)

14C17 Intersection theory, characteristic classes, intersection multiplicities

 * PM: mod 2 intersection number, id=4990 -- WP guess: mod 2 intersection number -- Status: N
 * The article doesn't seem to exist on PM. Jtwdog 18:30, 19 October 2005 (UTC)

14C20 Divisors, linear systems, invertible sheaves

 * PM: divisor, id=1102 -- WP: divisor (algebraic geometry) -- Status: A
 * Jtwdog 16:00, 18 October 2005 (UTC)


 * PM: algebraic equivalence of divisors, id=7474 -- WP guess: Linear_equivalence -- Status: A


 * PM: Néron-Severi group, id=7475 -- WP guess: Néron-Severi group -- Status:


 * PM: Weil divisors on schemes, id=7473 -- WP guess: Divisor (mathematics) -- Status: A


 * PM: intersection divisor for a quartic, id=7702new! -- WP guess: intersection divisor for a quartic -- Status:

14E05 Rational and birational maps

 * PM: general type, id=1104 -- WP guess: general type -- Status: A
 * Jtwdog 16:03, 18 October 2005 (UTC)


 * PM: Kodaira-Itaka dimension, id=8308new! -- WP guess: Kodaira-Itaka dimension -- Status:

14F05 Vector bundles, sheaves, related constructions

 * PM: direct image (functor), id=1101 -- WP: direct image functor -- Status: C
 * Jtwdog 21:28, 28 October 2005 (UTC)


 * PM: sheaf, id=2878 -- WP: sheaf (mathematics) -- Status: A
 * Jtwdog 19:50, 28 September 2005 (UTC)


 * PM: sheafification, id=2889 -- WP: sheafification -- Status: A
 * Jtwdog 19:50, 28 September 2005 (UTC)


 * PM: stalk, id=2881 -- WP: stalk of a sheaf -- Status: A
 * Jtwdog 19:50, 28 September 2005 (UTC)


 * PM: Étalé space, id=7608 -- WP guess: Étalé space -- Status:


 * PM: presheaf of a topological basis, id=8519new! -- WP guess: presheaf of a topological basis -- Status:


 * PM: subbundle, id=9094new! -- WP guess: subbundle -- Status:

14F20 Étalé and other Grothendieck topologies and cohomologies

 * PM: sheaf, id=5648 -- WP guess: sheaf (mathematics) -- Status: A
 * Jtwdog 18:39, 19 October 2005 (UTC)


 * PM: sheafification, id=5654 -- WP guess: sheafification -- Status: A
 * Jtwdog 18:39, 19 October 2005 (UTC)


 * PM: site, id=1730 -- WP guess: Grothendieck topology -- Status: A
 * Jtwdog 18:39, 19 October 2005 (UTC)


 * PM: small site on a scheme, id=5560 -- WP guess: Grothendieck topology -- Status: NM
 * Jtwdog 18:39, 19 October 2005 (UTC)


 * PM: Étalé cohomology, id=5666 -- WP guess: Étalé cohomology -- Status: A
 * Jtwdog 18:39, 19 October 2005 (UTC)

14F25 Classical real and complex cohomology

 * PM: Serre duality, id=4595 -- WP: Serre duality -- Status: A
 * Jtwdog 19:51, 28 September 2005 (UTC)


 * PM: sheaf cohomology, id=4587 -- WP: sheaf cohomology -- Status: A
 * Jtwdog 19:51, 28 September 2005 (UTC)

14F35 Homotopy theory; fundamental groups

 * PM: curve, id=3255 -- WP: curve -- Status: A
 * Jtwdog 18:43, 19 October 2005 (UTC)


 * PM: Étalé fundamental group, id=5627 -- WP: Étalé fundamental group -- Status: C
 * Jtwdog 22:02, 28 October 2005 (UTC)

14F42 Motivic cohomology

 * PM: motivic cohomology, id=8969new! -- WP guess: motivic cohomology -- Status:

14F99 Miscellaneous

 * PM: Leray spectral sequence for an affine morphism, id=5561 -- WP: Leray spectral sequence -- Status: NM
 * Jtwdog 21:45, 28 October 2005 (UTC)

14G05 Rational points

 * PM: Hasse principle, id=4581 -- WP: Hasse principle -- Status: A
 * Jtwdog 19:51, 28 September 2005 (UTC)


 * PM: Hasse-Minkowski theorem, id=7143 -- WP guess: Hasse-Minkowski theorem -- Status:


 * PM: Faltings's theorem, id=7968new! -- WP guess: Faltings's theorem -- Status:


 * PM: Weil conjectures, id=7670new! -- WP guess: Weil conjectures -- Status:

14G20 Local ground fields

 * PM: global field, id=9114new! -- WP guess: global field -- Status:

14H37 Automorphisms

 * PM: Frobenius morphism, id=4602 -- WP: Frobenius morphism -- Status: A
 * Jtwdog 18:52, 17 October 2005 (UTC)

14H45 Special curves and curves of low genus

 * PM: archimedean spiral, id=5486 -- WP: archimedean spiral -- Status: A
 * Jtwdog 18:43, 19 October 2005 (UTC)


 * PM: Fermat's spiral, id=5487 -- WP: Fermat's spiral -- Status: A
 * Jtwdog 18:43, 19 October 2005 (UTC)


 * PM: spiral, id=5485 -- WP: spiral -- Status:A
 * Jtwdog 18:43, 19 October 2005 (UTC)

14H50 Plane and space curves

 * PM: torsion (space curve), id=1634 -- WP guess: torsion (space curve) -- Status:

14H52 Elliptic curves

 * PM: bad reduction, id=4553 -- WP guess: bad reduction -- Status:


 * PM: Birch and Swinnerton-Dyer conjecture, id=4561 -- WP guess: Birch and Swinnerton-Dyer conjecture -- Status:


 * PM: bound for the rank of an elliptic curve, id=5908 -- WP guess: bound for the rank of an elliptic curve -- Status:


 * PM: conductor of an elliptic curve, id=4563 -- WP guess: conductor of an elliptic curve -- Status:


 * PM: examples of torsion subgroups of elliptic curves, id=5871 -- WP guess: examples of torsion subgroups of elliptic curves -- Status:


 * PM: Hasse's bound for elliptic curves over finite fields, id=4686 -- WP guess: Hasse's bound for elliptic curves over finite fields -- Status:


 * PM: height function, id=4549 -- WP guess: height function -- Status:


 * PM: j-invariant, id=4565 -- WP: j-invariant -- Status: A
 * Jeekc 16:37, 22 December 2005 (UTC)


 * PM: L-series of an elliptic curve, id=4560 -- WP guess: L-series of an elliptic curve -- Status:


 * PM: Mazur's theorem on torsion of elliptic curves, id=4607 -- WP guess: Mazur's theorem on torsion of elliptic curves -- Status:


 * PM: Mordell curve, id=4566 -- WP guess: Mordell curve -- Status:


 * PM: Mordell-Weil theorem, id=1725 -- WP guess: Mordell-Weil theorem -- Status:


 * PM: Nagell-Lutz theorem, id=4608 -- WP guess: Nagell-Lutz theorem -- Status:


 * PM: rank of an elliptic curve, id=4550 -- WP guess: rank of an elliptic curve -- Status:


 * PM: Selmer group, id=4586 -- WP guess: Selmer group -- Status:


 * PM: supersingular, id=1891 -- WP guess: supersingular -- Status:


 * PM: the torsion subgroup of an elliptic curve injects in the reduction of the curve, id=4688 -- WP guess: the torsion subgroup of an elliptic curve injects in the reduction of the curve -- Status:


 * PM: criterion of Néron-Ogg-Shafarevich, id=9582new! -- WP guess: criterion of Néron-Ogg-Shafarevich -- Status:

14H99 Miscellaneous

 * PM: genus, id=1116 -- WP: Genus (mathematics) -- Status: A
 * Jtwdog 18:31, 17 October 2005 (UTC)


 * PM: projective curve, id=2985 -- WP: projective curve -- Status: A
 * Jtwdog 18:31, 17 October 2005 (UTC)


 * PM: proof of Riemann-Roch theorem, id=4599 -- WP (none) -- Status: N
 * Jtwdog 18:31, 17 October 2005 (UTC)


 * PM: Riemann-Roch theorem for curves, id=1098 -- WP: Riemann-Roch theorem -- Status: A
 * Jtwdog 18:50, 19 October 2005 (UTC)


 * PM: space of functions associated to a divisor, id=5640 -- WP: Riemann-Roch theorem -- Status: A
 * Jtwdog 18:50, 19 October 2005 (UTC)


 * PM: Hurwitz genus formula, id=7966new! -- WP guess: Hurwitz genus formula -- Status:

14J25 Special surfaces

 * PM: cylindroid, id=6221 -- WP guess: cylindroid -- Status:


 * PM: ruled surface, id=6222 -- WP: ruled surface -- Status: A
 * Jtwdog 18:26, 17 October 2005 (UTC)


 * PM: cylindroid, id=8897new! -- WP guess: cylindroid -- Status:


 * PM: Plücker's conoid, id=8956new! -- WP guess: Plücker's conoid -- Status:

14J27 Elliptic surfaces

 * PM: elliptic surface, id=7476 -- WP guess: elliptic surface -- Status:


 * PM: Shioda-Tate formula, id=7479 -- WP guess: Shioda-Tate formula -- Status:

14J70 Hypersurfaces

 * PM: hypersurface, id=6099 -- WP: hypersurface -- Status: A
 * Jtwdog 18:24, 17 October 2005 (UTC)

14J80 Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)

 * PM: Donaldson Freedman exotic R4, id=7552 -- WP guess: Donaldson Freedman exotic R4 -- Status:


 * PM: Donaldson's theorem, id=7550 -- WP guess: Donaldson's theorem -- Status:


 * PM: exotic R4's, id=7551 -- WP: exotic R4's -- Status: NM
 * Paul August &#9742; 20:42, 8 May 2006 (UTC)

14K99 Miscellaneous

 * PM: abelian variety, id=5742 -- WP: abelian variety -- Status: A
 * Jtwdog 19:58, 28 September 2005 (UTC)


 * PM: group variety, id=5582 -- WP: group variety -- Status: A
 * Jtwdog 19:58, 28 September 2005 (UTC)

14L17 Affine algebraic groups, hyperalgebra constructions

 * PM: affine algebraic group, id=4638 -- WP: affine algebraic group -- Status: A
 * Jtwdog 19:55, 28 September 2005 (UTC)


 * PM: algebraic torus, id=4636 -- WP: algebraic torus -- Status: A
 * Jtwdog 19:55, 28 September 2005 (UTC)

14L24 Geometric invariant theory

 * PM: Quiver, id=7478 -- WP (none) -- Status:
 * Don't know if this should be copied or not. Paul August &#9742; 20:23, 8 May 2006 (UTC)

14M05 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)

 * PM: normal variety, id=3856 -- WP: normal variety -- Status: A
 * Jtwdog 18:24, 17 October 2005 (UTC)

14M15 Grassmannians, Schubert varieties, flag manifolds

 * PM: Borel-Bott-Weil theorem, id=4585 -- WP: Borel-Bott-Weil theorem -- Status: A
 * Jtwdog 19:52, 28 September 2005 (UTC)


 * PM: flag variety, id=4034 -- WP: flag variety -- Status: A
 * Jtwdog 19:52, 28 September 2005 (UTC)

14N05 Projective techniques

 * PM: Hodge Theory, id=7184 -- WP: Hodge theory -- Status:
 * Don't know whether there is anything to be merged here or not.

14P10 Semialgebraic sets and related spaces

 * PM: semialgebraic set, id=8997new! -- WP guess: semialgebraic set -- Status:


 * PM: Tarski-Seidenberg theorem, id=8998new! -- WP guess: Tarski-Seidenberg theorem -- Status:

14P15 Real analytic and semianalytic sets

 * PM: subanalytic set, id=8999new! -- WP guess: subanalytic set -- Status: C

14R15 Jacobian problem

 * PM: Jacobian conjecture, id=3935 -- WP: Jacobian conjecture -- Status: A
 * Jtwdog 19:56, 28 September 2005 (UTC)