Indicwiki: 1 revision imported from :alpha:Template:Algebraic_curves_navbox

2022-12-13T03:58:33Z

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alpha>Indicwiki: Created page with "{{Navbox | name = Algebraic curves navbox | title = Topics in algebraic curves | state = {{{state|autocollapse}}} | listclass = hlist | gr..."

2022-11-24T16:37:10Z

Created page with "{{Navbox | name = Algebraic curves navbox | title = Topics in algebraic curves | state = {{{state<includeonly>|autocollapse</includeonly>}}} | listclass = hlist | gr..."

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2022-11-20T04:15:48Z

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wikipedia>Ozob: Undid revision 856885799 by Newone (talk) Takes up too much room. Maybe it would be okay if the text could flow around it?

2018-10-23T01:40:18Z

Undid revision 856885799 by Newone (talk) Takes up too much room. Maybe it would be okay if the text could flow around it?

New page

{{Navbox
| name = Algebraic curves navbox
| title = Topics in [[algebraic curve]]s
| state = {{{state<includeonly>|autocollapse</includeonly>}}}
| listclass = hlist

| group1 = [[Rational curve]]s
| list1 =
* [[Five points determine a conic]]
* [[Projective line]]
* [[Rational normal curve]]
* [[Riemann sphere]]
* [[Twisted cubic]]

| group2 = [[Elliptic curve]]s
| list2 = {{Navbox|child

| group1 = Analytic theory
| list1 =
* [[Elliptic function]]
* [[Elliptic integral]]
* [[Fundamental pair of periods]]
* [[Modular form]]

| group2 = Arithmetic theory
| list2 =
* [[Counting points on elliptic curves]]
* [[Division polynomials]]
* [[Hasse's theorem on elliptic curves]]
* [[Mazur's torsion theorem]]
* [[Modular elliptic curve]]
* [[Modularity theorem]]
* [[Mordell–Weil theorem]]
* [[Nagell–Lutz theorem]]
* [[Supersingular elliptic curve]]
* [[Schoof's algorithm]]
* [[Schoof–Elkies–Atkin algorithm]]

| group3 = Applications
| list3 =
* [[Elliptic curve cryptography]]
* [[Elliptic curve primality]]

}}

| group3 = Higher genus
| list3 =
* [[De Franchis theorem]]
* [[Faltings's theorem]]
* [[Hurwitz's automorphisms theorem]]
* [[Hurwitz surface]]
* [[Hyperelliptic curve]]

| group4 = [[Plane curve]]s
| list4 =
* [[AF+BG theorem]]
* [[Bézout's theorem]]
* [[Bitangent]]
* [[Cayley–Bacharach theorem]]
* [[Conic section]]
* [[Cramer's paradox]]
* [[Cubic plane curve]]
* [[Fermat curve]]
* [[Genus–degree formula]]
* [[Hilbert's sixteenth problem]]
* [[Nagata's conjecture on curves]]
* [[Plücker formula]]
* [[Quartic plane curve]]
* [[Real plane curve]]

| group5 = [[Riemann surface]]s
| list5 =
* [[Belyi's theorem]]
* [[Bring's curve]]
* [[Bolza surface]]
* [[Compact Riemann surface]]
* [[Dessin d'enfant]]
* [[Differential of the first kind]]
* [[Klein quartic]]
* [[Riemann's existence theorem]]
* [[Riemann–Roch theorem]]
* [[Teichmüller space]]
* [[Torelli theorem]]

| group6 = Constructions
| list6 =
* [[Dual curve]]
* [[Polar curve]]
* [[Smooth completion]]

| group7 = Structure of curves
| list7 = {{Navbox|child

| group1 = Divisors on curves
| list1 =
* [[Abel–Jacobi map]]
* [[Brill–Noether theory]]
* [[Clifford's theorem on special divisors]]
* [[Gonality of an algebraic curve]]
* [[Jacobian variety]]
* [[Riemann–Roch theorem]]
* [[Weierstrass point]]
* [[Weil reciprocity law]]

| group2 = Moduli
| list2 =
* [[ELSV formula]]
* [[Gromov–Witten invariant]]
* [[Hodge bundle]]
* [[Moduli of algebraic curves]]
* [[Stable curve]]

| group3 = Morphisms
| list3 =
* [[Hasse–Witt matrix]]
* [[Riemann–Hurwitz formula]]
* [[Prym variety]]
* [[Weber's theorem]]

| group4 = [[Singular point of a curve|Singularities]]
| list4 =
* [[Acnode]]
* [[Crunode]]
* [[Cusp (singularity)|Cusp]]
* [[Delta invariant]]
* [[Tacnode]]

| group5 = [[Vector bundle]]s
| list5 =
* [[Birkhoff–Grothendieck theorem]]
* [[Stable vector bundle]]
* [[Vector bundles on algebraic curves]]

}}
}}<noinclude>
{{documentation|content=
{{collapsible option}}

==See also==
*{{tl|Curvature}}
*{{tl|Curves}}

[[Category:Mathematics navigational boxes]]
}}
</noinclude>

Template:Algebraic curves navbox - Revision history

Indicwiki: 1 revision imported from :alpha:Template:Algebraic_curves_navbox

alpha>Indicwiki: Created page with "{{Navbox | name = Algebraic curves navbox | title = Topics in algebraic curves | state = {{{state|autocollapse}}} | listclass = hlist | gr..."

Admin: 1 revision imported

wikipedia>Ozob: Undid revision 856885799 by Newone (talk) Takes up too much room. Maybe it would be okay if the text could flow around it?