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- Zariski–Riemann_space abstract "In algebraic geometry, a Zariski–Riemann space or Zariski space of a subring k of a field K is a locally ringed space whose points are valuation rings containing k and contained in K. They generalize the Riemann surface of a complex curve.Zariski–Riemann spaces were introduced by Zariski (1940, 1944) who (rather confusingly) called them Riemann manifolds or Riemann surfaces. They were named Zariski–Riemann spaces after Oscar Zariski and Bernhard Riemann by Nagata (1962) who used them to show that algebraic varieties can be embedded in complete ones.Local uniformization (proved in characteristic 0 by Zariski) can be interpreted as saying that the Zariski–Riemann space of a variety is nonsingular in some sense, so is a sort of rather weak resolution of singularities. This does not solve the problem of resolution of singularities because in dimensions greater than 1 the Zariski–Riemann space is not locally affine and in particular is not a scheme.".
- Zariski–Riemann_space wikiPageExternalLink 1250524969.
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- Zariski–Riemann_space wikiPageRevisionID "705885135".
- Zariski–Riemann_space wikiPageWikiLink Algebraic_geometry.
- Zariski–Riemann_space wikiPageWikiLink Bernhard_Riemann.
- Zariski–Riemann_space wikiPageWikiLink Bulletin_of_the_American_Mathematical_Society.
- Zariski–Riemann_space wikiPageWikiLink Category:Algebraic_geometry.
- Zariski–Riemann_space wikiPageWikiLink Complete_variety.
- Zariski–Riemann_space wikiPageWikiLink Field_(mathematics).
- Zariski–Riemann_space wikiPageWikiLink Infinitely_near_point.
- Zariski–Riemann_space wikiPageWikiLink Local_uniformization.
- Zariski–Riemann_space wikiPageWikiLink Oscar_Zariski.
- Zariski–Riemann_space wikiPageWikiLink Resolution_of_singularities.
- Zariski–Riemann_space wikiPageWikiLink Riemann_surface.
- Zariski–Riemann_space wikiPageWikiLink Ring_(mathematics).
- Zariski–Riemann_space wikiPageWikiLink Ringed_space.
- Zariski–Riemann_space wikiPageWikiLink Springer_Science+Business_Media.
- Zariski–Riemann_space wikiPageWikiLink Valuation_ring.
- Zariski–Riemann_space wikiPageWikiLinkText "Zariski–Riemann space".
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- Zariski–Riemann_space wikiPageUsesTemplate Template:Harvs.
- Zariski–Riemann_space wikiPageUsesTemplate Template:Harvtxt.
- Zariski–Riemann_space subject Category:Algebraic_geometry.
- Zariski–Riemann_space hypernym Rings.
- Zariski–Riemann_space type Disease.
- Zariski–Riemann_space type Redirect.
- Zariski–Riemann_space comment "In algebraic geometry, a Zariski–Riemann space or Zariski space of a subring k of a field K is a locally ringed space whose points are valuation rings containing k and contained in K. They generalize the Riemann surface of a complex curve.Zariski–Riemann spaces were introduced by Zariski (1940, 1944) who (rather confusingly) called them Riemann manifolds or Riemann surfaces.".
- Zariski–Riemann_space label "Zariski–Riemann space".
- Zariski–Riemann_space sameAs Q8066802.
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- Zariski–Riemann_space sameAs Q8066802.
- Zariski–Riemann_space wasDerivedFrom Zariski–Riemann_space?oldid=705885135.
- Zariski–Riemann_space isPrimaryTopicOf Zariski–Riemann_space.