On the highest Lyubeznik number of a local ring
| dc.creator | Zhang, Wenliang | |
| dc.date | 2006-02-25 | |
| dc.date.accessioned | 2026-07-07T07:03:46Z | |
| dc.date.available | 2026-07-07T07:03:46Z | |
| dc.description | Let $A$ be a $d$-dimensional local ring containing a field. We will prove that the highest Lyubeznik number $λ_{d,d}(A)$ (defined in \cite{l1}) is equal to the number of connected components of the Hochster-Huneke graph (defined in \cite{hh}) associated to $B$, where $B=\hat{\hat{A}^{sh}}$ is the completion of the strict Henselization of the completion of $A$. This was proven by Lyubeznik in characteristic $p>0$. Our statement and proof are characteristic-free. | |
| dc.identifier | https://arxiv.org/abs/math/0602566 | |
| dc.identifier | http://arxiv.org/abs/math/0602566 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109102 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D45; 14B15 | |
| dc.title | On the highest Lyubeznik number of a local ring | |
| dc.type | text |