2010/01/20 by Luchezar L. Avramov, Srikanth B. Iyengar, Avramov, Luchezar L. +3
Mathematics · #14A15 #14B25 (Primary) 13D05 (Secondary) #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:13D05 #msc:14A15 #msc:14B25
paper · pdf · doi:10.48550/arxiv.1001.3450
40 pages
arxiv created 2010/01/20 · arxiv updated 2010/02/26
We prove basic facts about reflexivity in derived categories over noetherian schemes; and about related notions such as semidualizing complexes, invertible complexes, and Gorenstein-perfect maps. Also, we study a notion of rigidity with respect to semidualizing complexes, in particular, relative dualizing complexes for Gorenstein-perfect maps. Our results include theorems of Yekutieli and Zhang concerning rigid dualizing complexes on schemes. This work is a continuation of part I, which dealt with commutative rings.