Reflexivity and rigidity for complexes, II: Schemes
Algebraic Geometry
2010-01-21 v1 Commutative Algebra
Abstract
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.
Cite
@article{arxiv.1001.3450,
title = {Reflexivity and rigidity for complexes, II: Schemes},
author = {Luchezar L. Avramov and Srikanth B. Iyengar and Joseph Lipman},
journal= {arXiv preprint arXiv:1001.3450},
year = {2010}
}
Comments
40 pages