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- Crepant_resolution abstract "In algebraic geometry, a crepant resolution of a singularity is a resolution that does not affect the canonical class of the manifold. The term \"crepant\" was coined by Miles Reid (1983) by removing the prefix \"dis\" from the word \"discrepant\", to indicate that the resolutions have no discrepancy in the canonical class.The crepant resolution conjecture of Ruan (2006) states that the orbifold cohomology of a Gorenstein orbifold is isomorphic to a semiclassical limit of the quantum cohomology of a crepant resolution.In 2 dimensions, crepant resolutions of complex Gorenstein quotient singularities (du Val singularities) always exist and are unique, in 3 dimensions they exist but need not be unique as they can be related by flops, and in dimensions greater than 3 they need not exist.A substitute for crepant resolutions which always exists is a terminal model. Namely, for every variety X over a field of characteristic zero such that X has canonical singularities (for example, rational Gorenstein singularities), there is a variety Y with Q-factorial terminal singularities and a birational projective morphism f: Y → X which is crepant in the sense that KY = f*KX.".
- Crepant_resolution wikiPageID "21698103".
- Crepant_resolution wikiPageLength "3454".
- Crepant_resolution wikiPageOutDegree "18".
- Crepant_resolution wikiPageRevisionID "572202623".
- Crepant_resolution wikiPageWikiLink Algebraic_geometry.
- Crepant_resolution wikiPageWikiLink American_Mathematical_Society.
- Crepant_resolution wikiPageWikiLink Birational_geometry.
- Crepant_resolution wikiPageWikiLink Canonical_bundle.
- Crepant_resolution wikiPageWikiLink Canonical_singularity.
- Crepant_resolution wikiPageWikiLink Category:Algebraic_geometry.
- Crepant_resolution wikiPageWikiLink Category:Singularity_theory.
- Crepant_resolution wikiPageWikiLink Daniel_Gorenstein.
- Crepant_resolution wikiPageWikiLink Du_Val_singularity.
- Crepant_resolution wikiPageWikiLink Flip_(mathematics).
- Crepant_resolution wikiPageWikiLink Journal_of_the_American_Mathematical_Society.
- Crepant_resolution wikiPageWikiLink Manifold.
- Crepant_resolution wikiPageWikiLink Orbifold.
- Crepant_resolution wikiPageWikiLink Rational_singularity.
- Crepant_resolution wikiPageWikiLink Resolution_of_singularities.
- Crepant_resolution wikiPageWikiLink Singularity_(mathematics).
- Crepant_resolution wikiPageWikiLinkText "Crepant resolution".
- Crepant_resolution wikiPageWikiLinkText "crepant resolution".
- Crepant_resolution wikiPageWikiLinkText "crepant".
- Crepant_resolution authorlink "Miles Reid".
- Crepant_resolution first "Miles".
- Crepant_resolution last "Reid".
- Crepant_resolution wikiPageUsesTemplate Template:Citation.
- Crepant_resolution wikiPageUsesTemplate Template:Harvs.
- Crepant_resolution wikiPageUsesTemplate Template:Harvtxt.
- Crepant_resolution wikiPageUsesTemplate Template:Reflist.
- Crepant_resolution year "1983".
- Crepant_resolution subject Category:Algebraic_geometry.
- Crepant_resolution subject Category:Singularity_theory.
- Crepant_resolution hypernym Resolution.
- Crepant_resolution type Person.
- Crepant_resolution comment "In algebraic geometry, a crepant resolution of a singularity is a resolution that does not affect the canonical class of the manifold.".
- Crepant_resolution label "Crepant resolution".
- Crepant_resolution sameAs Q5184228.
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- Crepant_resolution sameAs Q5184228.
- Crepant_resolution wasDerivedFrom Crepant_resolution?oldid=572202623.
- Crepant_resolution isPrimaryTopicOf Crepant_resolution.