Lower bounds on projective levels of complexes
Commutative Algebra
2017-10-05 v2
Abstract
For an associative ring , the projective level of a complex is the smallest number of mapping cones needed to build from projective -modules. We establish lower bounds for the projective level of in terms of the vanishing of homology of . We then use these bounds to derive a new version of The New Intersection Theorem for level when is a commutative Noetherian local ring.
Cite
@article{arxiv.1512.08534,
title = {Lower bounds on projective levels of complexes},
author = {Hannah Altmann and Eloísa Grifo and Jonathan Montaño and William Sanders and Thanh Vu},
journal= {arXiv preprint arXiv:1512.08534},
year = {2017}
}
Comments
To appear in the Journal of Algebra. In this new version, the paper has been rewritten to study projective levels, and to account for the existence of balanced big Cohen-Macaulay algebras