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|Title:||On the upper bound of the multiplicity conjecture|
|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|
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