2002/11/20 by Amnon Yekutieli, Yekutieli, Amnon, James J. Zhang +1
Mathematics · Physics and Astronomy · #(MSC 2000) Primary: 14A22 #14J32 #16D90 #16E30 #18E30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #Secondary: 14F05
paper · pdf · doi:10.48550/arxiv.math/0211309
openalex publication_date 2002/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A quasi-coherent ringed scheme is a pair (X,A), where X is a scheme, and A is a noncommutative quasi-coherent OX-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.