An intrinsic definition of the Rees algebra of a module
Commutative Algebra
2014-09-24 v2 Algebraic Geometry
Abstract
This paper concerns a generalization of the Rees algebra of ideals due to Eisenbud, Huneke and Ulrich that works for any finitely generated module over a noetherian ring. Their definition is in terms of maps to free modules. We give an intrinsic definition using divided powers.
Keywords
Cite
@article{arxiv.1402.3219,
title = {An intrinsic definition of the Rees algebra of a module},
author = {Gustav Sædén Ståhl},
journal= {arXiv preprint arXiv:1402.3219},
year = {2014}
}
Comments
16 pages. Moved sections on coherent functors to the new article "Rees algebras of modules and coherent functors"