$n$-blocks collections on Fano manifolds and sheaves with regularity $-\infty$
| dc.creator | Ballico, E. | |
| dc.creator | Malaspina, F. | |
| dc.date | 2007-10-18 | |
| dc.date | 2007-10-23 | |
| dc.date.accessioned | 2026-07-07T08:37:32Z | |
| dc.date.available | 2026-07-07T08:37:32Z | |
| dc.description | Let $X$ be a smooth Fano manifold equipped with a `` nice '' $n$-blocks collection in the sense of \cite{cm2} and $\mathcal {F}$ a coherent sheaf on $X$. Assume that $X$ is Fano and that all blocks are coherent sheaves. Here we prove that $\mathcal {F}$ has regularity $-\infty$ in the sense of \cite{cm2} if ${Supp}(\mathcal {F})$ is finite, the converse being true under mild assumptions. The corresponding result is also true when $X$ has a geometric collection in the sense of \cite{cm1}. | |
| dc.description | 5 pages, no figures, to appear on Matematiche (Catania) | |
| dc.identifier | https://arxiv.org/abs/0710.3531 | |
| dc.identifier | http://arxiv.org/abs/0710.3531 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140429 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J60 | |
| dc.title | $n$-blocks collections on Fano manifolds and sheaves with regularity $-\infty$ | |
| dc.type | text |