Homomorphisms of complexes via homologies

Details Homomorphisms of complexes via homologies Homomorphisms of complexes via homologies

2004-09-21

arxiv.org/abs/math/0409385v3

Journal of Algebra 294 (2005) 321-345

Mathematics

Rings and Algebras

26 pages, minor changes

Scientific paper

By Rickard's work, two rings are derived equivalent if there is a tilting complex, constructed from projective modules over the first ring such that the second ring is the endomorphism ring of this tilting complex. In this work I describe, under some conditions, the homomorphism space in the derived category between two complexes as iterated pull-back of homomorphism spaces between the homologies of the complexes.

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