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Local duality information


In mathematics, local duality may refer to:

  • Local Tate duality of modules over a Galois group of a local field
  • Grothendieck local duality of modules over local rings

and 22 Related for: Local duality information

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Local duality

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mathematics, local duality may refer to: Local Tate duality of modules over a Galois group of a local field Grothendieck local duality of modules over local rings...

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Grothendieck local duality

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algebra, Grothendieck local duality is a duality theorem for cohomology of modules over local rings, analogous to Serre duality of coherent sheaves. Suppose...

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Local Tate duality

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cohomology, local Tate duality (or simply local duality) is a duality for Galois modules for the absolute Galois group of a non-archimedean local field. It...

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Tate duality

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In mathematics, Tate duality or Poitou–Tate duality is a duality theorem for Galois cohomology groups of modules over the Galois group of an algebraic...

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Coherent duality

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In mathematics, coherent duality is any of a number of generalisations of Serre duality, applying to coherent sheaves, in algebraic geometry and complex...

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Grothendieck duality

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mathematics, Grothendieck duality may refer to: Coherent duality of coherent sheaves Grothendieck local duality of modules over a local ring This disambiguation...

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List of dualities

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Lagrange duality Langlands dual Lefschetz duality Local Tate duality Opposite category Poincaré duality Twisted Poincaré duality Poitou–Tate duality Pontryagin...

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Local cohomology

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_{R}} is a dualizing module for R {\displaystyle R} . In terms of the Matlis duality functor D ( − ) {\displaystyle D(-)} , the local duality theorem may...

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Matlis duality

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Matlis duality is a duality between Artinian and Noetherian modules over a complete Noetherian local ring. In the special case when the local ring has...

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Verdier duality

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mathematics, Verdier duality is a cohomological duality in algebraic topology that generalizes Poincaré duality for manifolds. Verdier duality was introduced...

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Gorenstein ring

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R with some degree shift. For a Gorenstein local ring (R, m, k) of dimension n, Grothendieck local duality takes the following form. Let E(k) be the injective...

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Alexander duality

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In mathematics, Alexander duality refers to a duality theory initiated by a result of J. W. Alexander in 1915, and subsequently further developed, particularly...

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Serre duality

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In algebraic geometry, a branch of mathematics, Serre duality is a duality for the coherent sheaf cohomology of algebraic varieties, proved by Jean-Pierre...

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Dualizing module

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canonical bundle of a smooth variety. It is used in Grothendieck local duality. A dualizing module for a Noetherian ring R is a finitely generated module...

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Dual space

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contravariance of vectors Dual module Dual norm Duality (mathematics) Duality (projective geometry) Pontryagin duality Reciprocal lattice – dual space basis, in...

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Cartier duality

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In mathematics, Cartier duality is an analogue of Pontryagin duality for commutative group schemes. It was introduced by Pierre Cartier (1962). Given any...

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String theory

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Two theories related by a duality need not be string theories. For example, Montonen–Olive duality is an example of an S-duality relationship between quantum...

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List of things named after Alexander Grothendieck

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Grothendieck constant Grothendieck–Katz p-curvature conjecture Grothendieck local duality Grothendieck's monodromy theorem Grothendieck's mysterious functor...

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Ext functor

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zero. global dimension bar resolution Grothendieck group Grothendieck local duality Weibel (1999); Cartan & Eilenberg (1956), section VI.1. Weibel (1994)...

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The Dualers

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The Dualers are an eight-piece (or nine-piece) ska and reggae band from South East London. Initially comprising brothers Si and Tyber Cranstoun, and now...

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Multiple citizenship

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retroactive law. in the Philippines, dual citizens by naturalization cannot run for any local elective office. However, dual citizens by birth are eligible...

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Road hierarchy

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D, or occasionally RD. These roads vary in quality, from newly built local dual carriageways and downgraded Routes Nationales to winding roads that are...

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