Dualizing Complexes and Perverse Sheaves on Noncommutative Ringed Schemes

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A quasi-coherent ringed scheme is a pair (X,A), where X is a scheme, and A is a noncommutative quasi-coherent O_X-ring. We introduce dualizing complexes over quasi-coherent ringed schemes and study their properties. For a separated differential quasi-coherent ringed scheme of finite type over a field, we prove existence and uniqueness of a rigid dualizing complex. In the proof we use the theory of perverse coherent sheaves in order to glue local pieces of the rigid dualizing complex into a global complex.
36 pages, AMSLaTeX. Final version, to appear in Selecta Math. (minor changes)

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Algebraic Geometry, Rings and Algebras, (MSC 2000) Primary: 14A22; Secondary: 14F05, 14J32, 16E30, 16D90, 18E30

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http://salesiana.dossiersoluciones.com/handle/123456789/99821

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211309
 http://arxiv.org/abs/math/0211309

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arXiv