DSpace at IIT Bombay >
IITB Publications >
Please use this identifier to cite or link to this item:
|Title: ||On the upper bound of the multiplicity conjecture|
|Authors: ||PUTHENPURAKAL, TJ|
|Keywords: ||castelnuovo-mumford regularity|
|Issue Date: ||2008|
|Publisher: ||AMER MATHEMATICAL SOC|
|Citation: ||PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 136(10), 3429-3434|
|Abstract: ||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.|
|Appears in Collections:||Article|
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.