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- Nagata's_compactification_theorem abstract "In algebraic geometry, Nagata's compactification theorem, introduced by Nagata (1962, 1963), implies that every abstract variety can be embedded in a complete variety, and more generally shows that a separated and finite type morphism to a Noetherian scheme S can be factored into an open immersion followed by a proper mapping. Deligne showed, in unpublished notes expounded by Conrad, that the condition that S is Noetherian can be replaced by the condition that S is quasi-compact and quasi-separated.Nagata's original proof used the older terminology of Zariski–Riemann spaces and valuation theory, which sometimes made it hard to follow. Lütkebohmert (1993) gave a scheme-theoretic proof of Nagata's theorem.Nagata's theorem is used to define the analogue in algebraic geometry of cohomology with compact support, or more generally higher direct image functors with proper support.".
- Nagata's_compactification_theorem wikiPageExternalLink BF03026540.
- Nagata's_compactification_theorem wikiPageExternalLink 1250524859.
- Nagata's_compactification_theorem wikiPageExternalLink 1250524969.
- Nagata's_compactification_theorem wikiPageID "37613671".
- Nagata's_compactification_theorem wikiPageRevisionID "538868590".
- Nagata's_compactification_theorem authorlink "Masayoshi Nagata".
- Nagata's_compactification_theorem hasPhotoCollection Nagata's_compactification_theorem.
- Nagata's_compactification_theorem last "Nagata".
- Nagata's_compactification_theorem year "1962".
- Nagata's_compactification_theorem year "1963".
- Nagata's_compactification_theorem subject Category:Algebraic_geometry.
- Nagata's_compactification_theorem comment "In algebraic geometry, Nagata's compactification theorem, introduced by Nagata (1962, 1963), implies that every abstract variety can be embedded in a complete variety, and more generally shows that a separated and finite type morphism to a Noetherian scheme S can be factored into an open immersion followed by a proper mapping.".
- Nagata's_compactification_theorem label "Nagata's compactification theorem".
- Nagata's_compactification_theorem sameAs m.0nd3nq4.
- Nagata's_compactification_theorem sameAs Q6958655.
- Nagata's_compactification_theorem sameAs Q6958655.
- Nagata's_compactification_theorem wasDerivedFrom Nagata's_compactification_theorem?oldid=538868590.
- Nagata's_compactification_theorem isPrimaryTopicOf Nagata's_compactification_theorem.