Improved Kunneth Tricks
K-Theory and Homology
2023-08-03 v1 Commutative Algebra
Rings and Algebras
Abstract
The Kunneth trick is a formula for the top cohomology of the derived tensor product of two complexes of modules over a ring. In this note we present two improvements of this formula. The first improved Kunneth trick is a formula for the top cohomology of the plain tensor product of two DG modules over a nonpositive DG ring. The second trick handles the derived tensor product of two DG modules over a nonpositive DG ring. The proofs are elementary.
Keywords
Cite
@article{arxiv.2308.01103,
title = {Improved Kunneth Tricks},
author = {Amnon Yekutieli},
journal= {arXiv preprint arXiv:2308.01103},
year = {2023}
}
Comments
4 pages