Record Details

ON THE NONNEGATIVITY OF NORMAL HILBERT COEFFICIENTS OF TWO IDEALS

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title ON THE NONNEGATIVITY OF NORMAL HILBERT COEFFICIENTS OF TWO IDEALS
 
Creator MASUTI, SK
VERMA, JK
 
Subject Analytically unramified local ring
integral closure of an ideal
normal Hilbert polynomial
LOCAL-RINGS
MULTIPLICITIES
 
Description Let (R, m) be an analytically unramified local ring of dimension d >= 1, and let I, J be m-primary ideals. Let (e) over bar ((i, j)) (I, J) be the coefficient of [GRAPHICS] of the normal Hilbert polynomial of I and J. In this paper we prove that (e) over bar ((i, j)) (I, J) are nonnegative for i + j >= d - 3 in Cohen-Macaulay local rings. We also prove that, if i + j = d - 1, then (e) over bar ((i, j)) (I, J) are nonnegative in unmixed local rings.
 
Publisher ROCKY MT MATH CONSORTIUM
 
Date 2014-10-15T16:34:41Z
2014-10-15T16:34:41Z
2013
 
Type Article
 
Identifier JOURNAL OF COMMUTATIVE ALGEBRA, 5(2)281-298
http://dx.doi.org/10.1216/JCA-2013-5-2-281
http://dspace.library.iitb.ac.in/jspui/handle/100/15222
 
Language en