Dualizing complexes and perverse sheaves on noncommutative ringed schemes
By Amnon Yekutieli, James J. Zhang. 2002
63 citations recorded by the source corpus.
Abstract.A quasi-coherent ringed scheme is a pair (X, $$ \mathcal{A} $$), where X is a scheme, and $$ \mathcal{A} $$ is a noncomutative quasi-coherent $$ \mathcal{O}_X $$ -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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/1775069b5daf5fb3106079eec6b2c449d11b2aae
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In Geometry and Topology
- Masaki Kashiwara
- Amnon Yekutieli
- Yukinobu Toda
- D. Hernandez
- Andrei Căldăraru
- Michel van den Bergh
- A. Ramadoss
- Vyjayanthi Chari
In Mathematical Physics
- Masaki Kashiwara
- Amnon Yekutieli
- D. Hernandez
- Andrei Căldăraru
- Michel van den Bergh
- Yukinobu Toda
- A. Ramadoss
- Vyjayanthi Chari
Citations in the corpus
- t-Structures on the Derived Categories of Holonomic D-Modules and Coherent O-Modules (2004, methodology): “In §6, we study the t-structure on Dbqc(DX).”
- Derived Categories (2016, background): “Yekutieli, among them [183] and [187].”