An intrinsic definition of the Rees algebra of a module

Gustav Sædén Ståhl

Type: Article

Publication Date: 2017-02-22

Citations: 1

DOI: https://doi.org/10.1017/s0013091516000547

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.

Locations

Proceedings of the Edinburgh Mathematical Society - View
arXiv (Cornell University) - View - PDF

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Action	Title	Year	Authors
+ PDF Chat	Commutative algebra with a view toward algebraic geometry	1996	David Eisenbud
+	Arithmetic of Blowup Algebras	1994	Wolmer V. Vasconcelos
+	Cohen-Macaulay Rings	1998	Winfried Bruns H. Jürgen Herzog
+ PDF Chat	Symmetric powers of complete modules over a two-dimensional regular local ring	1997	Daniel L. Katz Vijay Kodiyalam
+	Conormal Geometry of Maximal Minors	2000	Steven L. Kleiman Anders Thorup
+	Rees algebras of finitely generated torsion -free modules over a two-dimensional regular local ring	1998	Jung-Chen Liu
+ PDF Chat	Integrally closed modules over two-dimensional regular local rings	1995	Vijay Kodiyalam
+ PDF Chat	Specialization of integral dependence for modules	1999	Terence Gaffney Steven L. Kleiman
+ PDF Chat	Shadows of blow-up algebras	2004	Paolo Aluffi
+	Reduction of modules	1987	D. Andrew S. Rees