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- Nagatas_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 Deligne showed, in unpublished notes expounded by Conrad, that the condition that S is Noetherian can be replaced by the condition that S is quasi-compact and quasi-separated.Nagata's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.".
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- Nagatas_compactification_theorem wikiPageExternalLink BF03026540.
- Nagatas_compactification_theorem wikiPageID "37613671".
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- Nagatas_compactification_theorem wikiPageOutDegree "15".
- Nagatas_compactification_theorem wikiPageRevisionID "648034333".
- Nagatas_compactification_theorem wikiPageWikiLink Abstract_variety.
- Nagatas_compactification_theorem wikiPageWikiLink Algebraic_geometry.
- Nagatas_compactification_theorem wikiPageWikiLink Algebraic_variety.
- Nagatas_compactification_theorem wikiPageWikiLink Brian_Conrad.
- Nagatas_compactification_theorem wikiPageWikiLink Category:Theorems_in_algebraic_geometry.
- Nagatas_compactification_theorem wikiPageWikiLink Cohomology_with_compact_support.
- Nagatas_compactification_theorem wikiPageWikiLink Compact_space.
- Nagatas_compactification_theorem wikiPageWikiLink Complete_variety.
- Nagatas_compactification_theorem wikiPageWikiLink Finite_morphism.
- Nagatas_compactification_theorem wikiPageWikiLink Glossary_of_algebraic_geometry.
- Nagatas_compactification_theorem wikiPageWikiLink Glossary_of_scheme_theory.
- Nagatas_compactification_theorem wikiPageWikiLink Noetherian_scheme.
- Nagatas_compactification_theorem wikiPageWikiLink Pierre_Deligne.
- Nagatas_compactification_theorem wikiPageWikiLink Proper_morphism.
- Nagatas_compactification_theorem wikiPageWikiLink Valuation_(algebra).
- Nagatas_compactification_theorem wikiPageWikiLink Zariski–Riemann_space.
- Nagatas_compactification_theorem wikiPageWikiLinkText "Nagata's compactification theorem".
- Nagatas_compactification_theorem wikiPageWikiLinkText "theorem of Nagata".
- Nagatas_compactification_theorem authorlink "Masayoshi Nagata".
- Nagatas_compactification_theorem hasPhotoCollection Nagatas_compactification_theorem.
- Nagatas_compactification_theorem last "Nagata".
- Nagatas_compactification_theorem wikiPageUsesTemplate Template:Citation.
- Nagatas_compactification_theorem wikiPageUsesTemplate Template:Harvs.
- Nagatas_compactification_theorem wikiPageUsesTemplate Template:Harvtxt.
- Nagatas_compactification_theorem year "1962".
- Nagatas_compactification_theorem year "1963".
- Nagatas_compactification_theorem subject Category:Theorems_in_algebraic_geometry.
- Nagatas_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.".
- Nagatas_compactification_theorem label "Nagata's compactification theorem".
- Nagatas_compactification_theorem sameAs Nagatan_lause.
- Nagatas_compactification_theorem sameAs m.0nd3nq4.
- Nagatas_compactification_theorem sameAs Q11883897.
- Nagatas_compactification_theorem sameAs Q11883897.
- Nagatas_compactification_theorem wasDerivedFrom Nagatas_compactification_theoremoldid=648034333.
- Nagatas_compactification_theorem isPrimaryTopicOf Nagatas_compactification_theorem.