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On the upper bound of the multiplicity conjecture

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Title On the upper bound of the multiplicity conjecture
 
Creator PUTHENPURAKAL, TJ
 
Subject castelnuovo-mumford regularity
asymptotic-behavior
betti numbers
ideals
multiplicity conjecture
regularity
reduction
analyticity
 
Description Let A = K[X-1, ..., X-n] and let I be a graded ideal in A. We show that the upper bound of the multiplicity conjecture of Herzog, Huneke and Srinivasan holds asymptotically (i.e., for I-k and all k >> 0) if I belongs to any of the following large classes of ideals: ( 1) radical ideals, ( 2) monomial ideals with generators in different degrees, ( 3) zero-dimensional ideals with generators in different degrees. Surprisingly, our proof uses local techniques like analyticity, reductions, equimultiplicity and local results like Rees's theorem on multiplicities.
 
Publisher AMER MATHEMATICAL SOC
 
Date 2011-07-16T18:50:30Z
2011-12-26T12:49:55Z
2011-12-27T05:35:44Z
2011-07-16T18:50:30Z
2011-12-26T12:49:55Z
2011-12-27T05:35:44Z
2008
 
Type Article
 
Identifier PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 136(10), 3429-3434
0002-9939
http://dx.doi.org/10.1090/S0002-9939-08-09426-4
http://dspace.library.iitb.ac.in/xmlui/handle/10054/4503
http://hdl.handle.net/10054/4503
 
Language en