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LOCAL COHOMOLOGY OF REES-ALGEBRAS AND HILBERT-FUNCTIONS

DSpace at IIT Bombay

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Field Value
 
Title LOCAL COHOMOLOGY OF REES-ALGEBRAS AND HILBERT-FUNCTIONS
 
Creator JOHNSTON, B
VERMA, J
 
Subject reduction number
ideals
hilbert polynomial
local cohomology
pees ring
 
Description Let I be an ideal primary to the maximal ideal in a local ring. We utilize two well-known theorems due to J.-P. Serre to prove that the difference between the Hilbert function and the Hilbert polynomial of I is the alternating sum of the graded pieces of the graded local cohomology (with respect to its positively-graded ideal) of the Pees ring Of I. This gives new insight into the higher Hilbert coefficients of I. The result is inspired by one due to J. D. Sally in dimension two and is implicit in a paper by D. Kirby and H. A. Mehran, where very different methods are used.
 
Publisher AMER MATHEMATICAL SOC
 
Date 2011-07-16T18:42:04Z
2011-12-26T12:49:54Z
2011-12-27T05:35:43Z
2011-07-16T18:42:04Z
2011-12-26T12:49:54Z
2011-12-27T05:35:43Z
1995
 
Type Article
 
Identifier PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 123(1), 1-10
0002-9939
http://dx.doi.org/10.2307/2160602
http://dspace.library.iitb.ac.in/xmlui/handle/10054/4499
http://hdl.handle.net/10054/4499
 
Language en