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- Drinfeld_module abstract "In mathematics, a Drinfeld module (or elliptic module) is roughly a special kind of module over a ring of functions on a curve over a finite field, generalizing the Carlitz module. Loosely speaking, they provide a function field analogue of complex multiplication theory. A shtuka (also called F-sheaf or chtouca) is a sort of generalization of a Drinfeld module, consisting roughly of a vector bundle over a curve, together with some extra structure identifying a "Frobenius twist" of the bundle with a "modification" of it.Drinfeld modules were introduced by Drinfeld (1974), who used them to prove the Langlands conjectures for GL2 of an algebraic function field in some special cases. He later invented shtukas and used shtukas of rank 2 to provethe remaining cases of the Langlands conjectures for GL2. Laurent Lafforgue proved the Langlands conjectures for GLn of a function field by studying the moduli stack of shtukas of rank n."Shtuka" is a Russian word штука meaning "a single copy", which comes from the German noun “Stück”, meaning “piece, item, or unit". In Russian, the word "shtuka" is also used in slang for a thing with known properties, but having no name in a speaker's mind.".
- Drinfeld_module wikiPageExternalLink what-is.pdf.
- Drinfeld_module wikiPageExternalLink pspum332-index.
- Drinfeld_module wikiPageExternalLink three.pdf.
- Drinfeld_module wikiPageID "5578871".
- Drinfeld_module wikiPageRevisionID "603592389".
- Drinfeld_module first "E.-U.".
- Drinfeld_module hasPhotoCollection Drinfeld_module.
- Drinfeld_module id "D/d120270".
- Drinfeld_module last "Gekeler".
- Drinfeld_module title "Drinfeld module".
- Drinfeld_module subject Category:Algebraic_geometry.
- Drinfeld_module subject Category:Algebraic_number_theory.
- Drinfeld_module subject Category:Finite_fields.
- Drinfeld_module comment "In mathematics, a Drinfeld module (or elliptic module) is roughly a special kind of module over a ring of functions on a curve over a finite field, generalizing the Carlitz module. Loosely speaking, they provide a function field analogue of complex multiplication theory.".
- Drinfeld_module label "Drinfeld module".
- Drinfeld_module label "德林費爾德模".
- Drinfeld_module sameAs m.0dtj1n.
- Drinfeld_module sameAs Q3277053.
- Drinfeld_module sameAs Q3277053.
- Drinfeld_module wasDerivedFrom Drinfeld_module?oldid=603592389.
- Drinfeld_module isPrimaryTopicOf Drinfeld_module.