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Semiorthogonal decomposition information


In mathematics, a semiorthogonal decomposition is a way to divide a triangulated category into simpler pieces. One way to produce a semiorthogonal decomposition is from an exceptional collection, a special sequence of objects in a triangulated category. For an algebraic variety X, it has been fruitful to study semiorthogonal decompositions of the bounded derived category of coherent sheaves, .

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Semiorthogonal decomposition

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a semiorthogonal decomposition is a way to divide a triangulated category into simpler pieces. One way to produce a semiorthogonal decomposition is from...

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Derived noncommutative algebraic geometry

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encoding this construction are semiorthogonal decompositions and exceptional collections. A semiorthogonal decomposition of a triangulated category T {\displaystyle...

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Triangulated category

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sheaf D-module Beilinson–Bernstein localization Module spectrum Semiorthogonal decomposition Bridgeland stability condition Puppe (1962, 1967); Verdier (1963...

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