In mathematics, the André–Oort conjecture is a problem in Diophantine geometry, a branch of number theory, that can be seen as a non-abelian analogue of the Manin–Mumford conjecture, which is now a theorem (and is actually proven in several genuinely different ways). The conjecture concerns itself with a characterization of the Zariski closure of sets of special points in Shimura varieties.A special case of the conjecture was stated by Yves André in 1989 and a more general statement (albeit with a restriction on the type of the Shimura variety) was conjectured by Frans Oort in 1995. The modern version is a natural generalization of these two conjectures.
Attributes | Values |
---|
rdf:type
| |
rdfs:label
| - André–Oort conjecture (en)
- Гипотеза Андре — Оорта (ru)
- André–Oorts förmodan (sv)
|
rdfs:comment
| - In mathematics, the André–Oort conjecture is a problem in Diophantine geometry, a branch of number theory, that can be seen as a non-abelian analogue of the Manin–Mumford conjecture, which is now a theorem (and is actually proven in several genuinely different ways). The conjecture concerns itself with a characterization of the Zariski closure of sets of special points in Shimura varieties.A special case of the conjecture was stated by Yves André in 1989 and a more general statement (albeit with a restriction on the type of the Shimura variety) was conjectured by Frans Oort in 1995. The modern version is a natural generalization of these two conjectures. (en)
- Inom matematiken är André–Oorts förmodan ett öppet problem som generaliserar . En prototypisk form av förmodan framlades av år 1989 och en mer allmän version av år 1995. Den moderna versionen är en naturlig generalisering av dessa två förmodanden. (sv)
- Гипотеза Андре — Оорта — проблема в теории чисел, которая обобщает . Начальную версию гипотезы высказал Ив Андре в 1989, а более общую версию высказал Франс Оорт в 1995. Современная версия является обобщением этих двух гипотез. Имеется опубликованное в форме препринта доказательство гипотезы. (ru)
|
dcterms:subject
| |
Wikipage page ID
| |
Wikipage revision ID
| |
Link from a Wikipage to another Wikipage
| |
Link from a Wikipage to an external page
| |
sameAs
| |
dbp:wikiPageUsesTemplate
| |
has abstract
| - In mathematics, the André–Oort conjecture is a problem in Diophantine geometry, a branch of number theory, that can be seen as a non-abelian analogue of the Manin–Mumford conjecture, which is now a theorem (and is actually proven in several genuinely different ways). The conjecture concerns itself with a characterization of the Zariski closure of sets of special points in Shimura varieties.A special case of the conjecture was stated by Yves André in 1989 and a more general statement (albeit with a restriction on the type of the Shimura variety) was conjectured by Frans Oort in 1995. The modern version is a natural generalization of these two conjectures. (en)
- Inom matematiken är André–Oorts förmodan ett öppet problem som generaliserar . En prototypisk form av förmodan framlades av år 1989 och en mer allmän version av år 1995. Den moderna versionen är en naturlig generalisering av dessa två förmodanden. (sv)
- Гипотеза Андре — Оорта — проблема в теории чисел, которая обобщает . Начальную версию гипотезы высказал Ив Андре в 1989, а более общую версию высказал Франс Оорт в 1995. Современная версия является обобщением этих двух гипотез. Имеется опубликованное в форме препринта доказательство гипотезы. (ru)
|
gold:hypernym
| |
prov:wasDerivedFrom
| |
page length (characters) of wiki page
| |
foaf:isPrimaryTopicOf
| |
is rdfs:seeAlso
of | |
is Link from a Wikipage to another Wikipage
of | |
is Wikipage redirect
of | |