Hilbert-Samuel functions of modules over Cohen-Macaulay rings
DSpace at IIT Bombay
View Archive InfoField | Value | |
Title |
Hilbert-Samuel functions of modules over Cohen-Macaulay rings
|
|
Creator |
IYENGAR, S
PUTHENPURAKAL, TJ |
|
Subject |
local ring
powers ideal hilbert-samuel functions growth and vanishing of derived functors |
|
Description |
For a finitely generated, non-free module M over a CM local ring ( R, m, k), it is proved that for n >> 0 the length of TorR 1 ( M, R/m(n+1)) is given by a polynomial of degree dim R-1. The vanishing of Tor(i)(R) ( M, N/m(n+1)N) is studied, with a view towards answering the question: If there exists a finitely generated R-module N with dimN >= 1 such that the projective dimension or the injective dimension of N/m(n+1)N is finite, then is R regular? Upper bounds are provided for n beyond which the question has an affirmative answer.
|
|
Publisher |
AMER MATHEMATICAL SOC
|
|
Date |
2011-07-16T18:36:27Z
2011-12-26T12:49:54Z 2011-12-27T05:35:43Z 2011-07-16T18:36:27Z 2011-12-26T12:49:54Z 2011-12-27T05:35:43Z 2007 |
|
Type |
Article
|
|
Identifier |
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 135(3), 637-648
0002-9939 http://dx.doi.org/10.1090/S0002-9939-06-08519-4 http://dspace.library.iitb.ac.in/xmlui/handle/10054/4497 http://hdl.handle.net/10054/4497 |
|
Language |
en
|
|