On the Upper bound of the Multiplicity Conjecture
| dc.creator | Puthenpurakal, Tony J. | |
| dc.date | 2007-01-27 | |
| dc.date | 2007-10-31 | |
| dc.date.accessioned | 2026-07-07T08:39:34Z | |
| dc.date.available | 2026-07-07T08:39:34Z | |
| dc.description | Let $A = K[X_1,...,X_n]$ and let $I$ be a graded ideal in $A$. We show that the upper bound of Multiplicity conjecture of Herzog, Huneke and Srinivasan holds asymptotically (i.e., for $I^k$ and all $k \gg 0$) if $I$ belongs to any of the following large classes of ideals: \begin{enumerate}[\rm (1)] \item radical ideals. \item monomial ideals with generators in different degrees. \item zero-dimensional ideals with generators in different degrees. \end{enumerate} Surprisingly, our proof uses local techniques like analyticity, reductions, equimultiplicity and local results like Rees's theorem on multiplicities. | |
| dc.description | 6 pages, Many typos corrected. An additional section on examples added. To appear in Proc. of AMS | |
| dc.identifier | https://arxiv.org/abs/math/0701793 | |
| dc.identifier | http://arxiv.org/abs/math/0701793 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141113 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H15, 13D02 (Primary) 13D40, 13A30 (Secondary) | |
| dc.title | On the Upper bound of the Multiplicity Conjecture | |
| dc.type | text |