pith. sign in

arxiv: 1001.3450 · v1 · submitted 2010-01-20 · 🧮 math.AG · math.AC

Reflexivity and rigidity for complexes, II: Schemes

classification 🧮 math.AG math.AC
keywords complexesschemesdualizinggorenstein-perfectmapsreflexivityrigiditysemidualizing
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.