An intrinsic definition of the Rees algebra of a module
arXiv:1402.3219
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.
16 pages. Moved sections on coherent functors to the new article "Rees algebras of modules and coherent functors"