Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Coherent_duality> ?p ?o. }
Showing items 1 to 28 of
28
with 100 items per page.
- Coherent_duality abstract "In mathematics, coherent duality is any of a number of generalisations of Serre duality, applying to coherent sheaves, in algebraic geometry and complex manifold theory, as well as some aspects of commutative algebra that are part of the 'local' theory.The historical roots of the theory lie in the idea of the adjoint linear system of a linear system of divisors in classical algebraic geometry. This was re-expressed, with the advent of sheaf theory, in a way that made an analogy with Poincaré duality more apparent. Then according to a general principle, Grothendieck's relative point of view, the theory of Jean-Pierre Serre was extended to a proper morphism; Serre duality was recovered as the case of the morphism of a non-singular projective variety (or complete variety) to a point. The resulting theory is now sometimes called Serre-Grothendieck-Verdier duality, and is a basic tool in algebraic geometry. A treatment of this theory, Residues and Duality (1966) by Robin Hartshorne, became an accessible reference. One concrete spin-off was the Grothendieck residue.To go beyond proper morphisms, as for the versions of Poincaré duality that are not for closed manifolds, requires some version of the compact support concept. This was addressed in SGA2 in terms of local cohomology, and Grothendieck local duality; and subsequently. The Greenlees-May duality, first formulated in 1976 by Ralf Strebel and in 1978 by Eben Matlis, is part of the continuing consideration of this area.".
- Coherent_duality wikiPageID "1815224".
- Coherent_duality wikiPageRevisionID "540599256".
- Coherent_duality hasPhotoCollection Coherent_duality.
- Coherent_duality subject Category:Duality_theories.
- Coherent_duality subject Category:Sheaf_theory.
- Coherent_duality subject Category:Topological_methods_of_algebraic_geometry.
- Coherent_duality type Ability105616246.
- Coherent_duality type Abstraction100002137.
- Coherent_duality type Cognition100023271.
- Coherent_duality type DualityTheories.
- Coherent_duality type Explanation105793000.
- Coherent_duality type HigherCognitiveProcess105770664.
- Coherent_duality type Know-how105616786.
- Coherent_duality type Method105660268.
- Coherent_duality type Process105701363.
- Coherent_duality type PsychologicalFeature100023100.
- Coherent_duality type Theory105989479.
- Coherent_duality type Thinking105770926.
- Coherent_duality type TopologicalMethodsOfAlgebraicGeometry.
- Coherent_duality comment "In mathematics, coherent duality is any of a number of generalisations of Serre duality, applying to coherent sheaves, in algebraic geometry and complex manifold theory, as well as some aspects of commutative algebra that are part of the 'local' theory.The historical roots of the theory lie in the idea of the adjoint linear system of a linear system of divisors in classical algebraic geometry.".
- Coherent_duality label "Coherent duality".
- Coherent_duality sameAs m.05z44k.
- Coherent_duality sameAs Q5141352.
- Coherent_duality sameAs Q5141352.
- Coherent_duality sameAs Coherent_duality.
- Coherent_duality wasDerivedFrom Coherent_duality?oldid=540599256.
- Coherent_duality isPrimaryTopicOf Coherent_duality.