Factorial threefolds and Shokurov vanishing
| dc.creator | Cheltsov, Ivan | |
| dc.date | 2004-10-10 | |
| dc.date | 2006-03-02 | |
| dc.date.accessioned | 2026-07-07T06:38:54Z | |
| dc.date.available | 2026-07-07T06:38:54Z | |
| dc.description | We prove the factoriality of the following nodal threefolds: a complete intersection of hypersurfaces $F$ and $G\subset\mathbb{P}^{5}$ of degree $n$ and $k$ respectively, where $G$ is smooth, $|\mathrm{Sing}(F\cap G)|\leqslant(n+k-2)(n-1)/5$, $n\geqslant k$; a double cover of a smooth hypersurface $F\subset\mathbb{P}^{4}$ of degree $n$ branched over a surface that is cut out on $F$ by a hypersurface $G$ of degree $2r\geqslant n$, and $|\mathrm{Sing}(F\cap G)|\leqslant(2r+n-2)r/4$. | |
| dc.description | 22 pages, extended version, to appear in Sbornik: Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0410252 | |
| dc.identifier | http://arxiv.org/abs/math/0410252 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100902 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 14J30, 14J17, 14M10 | |
| dc.title | Factorial threefolds and Shokurov vanishing | |
| dc.type | text |