On Lyubeznik numbers of projective schemes
| dc.creator | Zhang, Wenliang | |
| dc.date | 2007-09-05 | |
| dc.date.accessioned | 2026-07-07T08:27:51Z | |
| dc.date.available | 2026-07-07T08:27:51Z | |
| dc.description | Let $X$ be an arbitrary projective scheme over a field $k$. Let $A$ be the local ring at the vertex of the affine cone for some embedding $ι: X\hookrightarrow \mathbb{P}^n_k$. G. Lyubeznik asked (in \cite{l2}) whether the integers $λ_{i,j}(A)$ (defined in \cite{l1}), called the Lyubeznik numbers of $A$, depend only on $X$, but not on the embedding. In this paper, we make a big step toward a positive answer to this question by proving that in positive characteristic, for a fixed $X$, the Lyubezink numbers $λ_{i,j}(A)$ of the local ring $A$, can only achieve finitely many possible values under all choices of embeddings. | |
| dc.identifier | https://arxiv.org/abs/0709.0747 | |
| dc.identifier | http://arxiv.org/abs/0709.0747 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137416 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D45; 14B15 | |
| dc.title | On Lyubeznik numbers of projective schemes | |
| dc.type | text |