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- Nakai_conjecture abstract "In mathematics, the Nakai conjecture is an unproven characterization of smooth algebraic varieties, conjectured by Japanese mathematician Yoshikazu Nakai in 1961.It states that if V is a complex algebraic variety, such that its ring of differential operators is generated by the derivations it contains, then V is a smooth variety. The converse statement, that smooth algebraic varieties have rings of differential operators that are generated by their derivations, is a result of Alexander Grothendieck.The Nakai conjecture is known to be true for algebraic curves and Stanley-Reisner rings. A proof of the conjecture would also prove the Zariski–Lipman conjecture, for a complex variety V with coordinate ring R. This conjecture states that if the derivations of R are a free module over R, then V is smooth.".
- Nakai_conjecture wikiPageID "3132530".
- Nakai_conjecture wikiPageLength "2599".
- Nakai_conjecture wikiPageOutDegree "15".
- Nakai_conjecture wikiPageRevisionID "646964212".
- Nakai_conjecture wikiPageWikiLink Affine_variety.
- Nakai_conjecture wikiPageWikiLink Alexander_Grothendieck.
- Nakai_conjecture wikiPageWikiLink Algebraic_curve.
- Nakai_conjecture wikiPageWikiLink Category:Algebraic_geometry.
- Nakai_conjecture wikiPageWikiLink Category:Conjectures.
- Nakai_conjecture wikiPageWikiLink Category:Singularity_theory.
- Nakai_conjecture wikiPageWikiLink Complex_algebraic_variety.
- Nakai_conjecture wikiPageWikiLink Conjecture.
- Nakai_conjecture wikiPageWikiLink Conjectured.
- Nakai_conjecture wikiPageWikiLink Coordinate_ring.
- Nakai_conjecture wikiPageWikiLink Derivation_(algebra).
- Nakai_conjecture wikiPageWikiLink Derivation_(differential_algebra).
- Nakai_conjecture wikiPageWikiLink Differential_operator.
- Nakai_conjecture wikiPageWikiLink Differential_operators.
- Nakai_conjecture wikiPageWikiLink Free_module.
- Nakai_conjecture wikiPageWikiLink Mathematics.
- Nakai_conjecture wikiPageWikiLink Singular_point_of_an_algebraic_variety.
- Nakai_conjecture wikiPageWikiLink Smooth_algebraic_variety.
- Nakai_conjecture wikiPageWikiLink Stanley-Reisner_ring.
- Nakai_conjecture wikiPageWikiLink Stanley–Reisner_ring.
- Nakai_conjecture wikiPageWikiLinkText "Nakai conjecture".
- Nakai_conjecture wikiPageWikiLinkText "Yoshikazu Nakai".
- Nakai_conjecture hasPhotoCollection Nakai_conjecture.
- Nakai_conjecture wikiPageUsesTemplate Template:Differential-geometry-stub.
- Nakai_conjecture wikiPageUsesTemplate Template:Reflist.
- Nakai_conjecture subject Category:Algebraic_geometry.
- Nakai_conjecture subject Category:Conjectures.
- Nakai_conjecture subject Category:Singularity_theory.
- Nakai_conjecture hypernym Characterization.
- Nakai_conjecture type Article.
- Nakai_conjecture type Article.
- Nakai_conjecture type Conjecture.
- Nakai_conjecture type Page.
- Nakai_conjecture type Statement.
- Nakai_conjecture type Statement.
- Nakai_conjecture comment "In mathematics, the Nakai conjecture is an unproven characterization of smooth algebraic varieties, conjectured by Japanese mathematician Yoshikazu Nakai in 1961.It states that if V is a complex algebraic variety, such that its ring of differential operators is generated by the derivations it contains, then V is a smooth variety.".
- Nakai_conjecture label "Nakai conjecture".
- Nakai_conjecture sameAs m.08tj78.
- Nakai_conjecture sameAs Nakais_förmodan.
- Nakai_conjecture sameAs Q6960163.
- Nakai_conjecture sameAs Q6960163.
- Nakai_conjecture wasDerivedFrom Nakai_conjecture?oldid=646964212.
- Nakai_conjecture isPrimaryTopicOf Nakai_conjecture.