On the homology of regular quotients
Commutative Algebra
2013-05-13 v1 Algebraic Topology
Abstract
We construct a free resolution of over where is generated by a (finite or infinite) regular sequence. This generalizes the Koszul complex for the case . For , we easily deduce that the algebra structure of is trivial and the reduction map induces the trivial map of algebras.
Cite
@article{arxiv.1305.2216,
title = {On the homology of regular quotients},
author = {Andrew Baker},
journal= {arXiv preprint arXiv:1305.2216},
year = {2013}
}